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Probability Concepts and Applications test bank

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Question;CHAPTER 2;Probability Concepts and;Applications;TRUE/FALSE;2.1 Subjective probability implies that we;can measure the relative frequency of the values of the random variable.;2.2 The use of "expert opinion" is;one way to approximate subjective probability values.;2.3 Mutually exclusive events exist if only;one of the events can occur on any one trial.;2.4 Stating that two events are statistically independent means that;the probability of one event occurring is independent of the probability of the;other event having occurred.;2.5 Saying that a set of events is;collectively exhaustive implies that one of the events must occur.;2.6 Saying that a set of events is mutually;exclusive and collectively exhaustive implies that one and only one of the;events can occur on any trial.;2.7 A posterior probability;is a revised probability.;2.8 Bayes' rule enables us to calculate the;probability that one event takes place knowing that a second event has or has;not taken place.;2.9 A probability density function is a mathematical way of describing;Bayes? Theorem.;2.10 The probability, P, of any event or state of;nature occurring is greater than or equal to 0 and less than or equal to 1.;2.11 A probability is a;numerical statement about the chance that an event will occur.;2.12 If two events are mutually exclusive, the;probability of both events occurring is simply the sum of the individual;probabilities.;2.13 Given two statistically;dependent events (A,B), the conditional probability of;p(A|B) = p(B)/p(AB).;2.14 Given two statistically independent events;(A,B), the joint probability of P(AB) = P(A) + P(B).;2.15 Given three statistically independent events;(A,B,C), the joint probability of P(ABC) = P(A)?P(B)?P(C).;2.16 Given two statistically independent events;(A,B), the conditional probability P(A|B) = P(A).;2.17 Suppose that you enter a drawing by;obtaining one of 20 tickets that have been distributed. By using the classical method, you can determine that the probability of your;winning the drawing is 0.05.;2.18 Assume that you have a box containing five;balls: two red and three white. You draw;a ball two times, each time replacing the ball just drawn before drawing the;next. The probability of drawing only;one white ball is 0.20.;2.19 If we roll a single die twice, the probability;that the sum of the dots showing on the two rolls equals four (4), is 1/6.;2.20 For two events A and Bthat are not;mutually exclusive, the probability that either Aor B will occur is P(A);? P(B) ? P(A and B).;2.21 If we flip a coin three times, the;probability of getting three heads is 0.125.;2.22 Consider a standard 52-card deck of;cards. The probability of drawing either;a seven or a black card is 7 / 13.;2.23 If a bucket has three black balls and seven;green balls, and we draw balls without replacement, the probability of drawing;a green ball is independent of the number of balls previously drawn.;2.24 Assume that you have an;urn containing 10 balls of the following description;4 are;white (W) and lettered (L);2 are;white (W) and numbered (N);3 are;yellow (Y) and lettered (L);1 is;yellow (Y) and numbered (N);If you draw a numbered;ball (N), the probability that this ball is white (W) is 0.667.;2.25 Assume that you have an;urn containing 10 balls of the following description;4 are;white (W) and lettered (L);2 are;white (W) and numbered (N);3 are;yellow (Y) and lettered (L);1 is;yellow (Y) and numbered (N);If you draw a numbered;ball (N), the probability that this ball is white (W) is 0.60.;2.26 Assume that you have an;urn containing 10 balls of the following description;4 are;white (W) and lettered (L);2 are;white (W) and numbered (N);3 are;yellow (Y) and lettered (L);1 is;yellow (Y) and numbered (N);If you draw a lettered;ball (L), the probability that this ball is white (W) is 0.571.;2.27 The joint probability of two or more;independent events occurring is the sum of their marginal or simple;probabilities.;2.28 The number of bad checks;written at a local store is an example of a discrete random variable.;2.29 Given the following distribution;Outcome;Value of Random Variable;Probability;A;1;.4;B;2;.3;C;3;.2;D;4;.1;The expected value is;3.;2.30 A new young executive is perplexed at the;number of interruptions that occur due to employee relations. She has decided;to track the number of interruptions that occur during each hour of her day.;Over the last month, she has determined that between 0 and 3 interruptions;occur during any given hour of her day. The data is shown below.;Number of Interruptions in 1 hour;Probability;0 interruption;.5;1 interruptions;.3;2 interruptions;.1;3 interruptions;.1;On average, she should;expect 0.8 interruptions per hour.;2.31 A new young executive is perplexed at the;number of interruptions that occur due to employee relations. She has decided;to track the number of interruptions that occur during each hour of her day.;Over the last month, she has determined that between 0 and 3 interruptions;occur during any given hour of her day. The data is shown below.;Number of Interruptions in 1 hour;Probability;0 interruption;.4;1 interruptions;.3;2 interruptions;.2;3 interruptions;.1;On average, she should;expect 1.0 interruptions per hour.;2.32;The expected value of a;binomial distribution is expressed as np,where n equals the number of;trials and p equals the;probability of success of any individual trial.;2.33;The standard;deviation equals the square of the variance.;2.34;The probability of obtaining specific outcomes in a;Bernoulli process is described by the binomial probability distribution.;2.35;The variance of a binomial distribution is expressed as np/(1?p),where n equals;the number of;trials and p equals the;probability of success of any individual trial.;2.36;The F distribution is a continuous;probability distribution that is helpful in testing hypotheses about;variances.;ANSWER: TRUE;{moderate, THE F DISTRIBUTION};2.37;The mean and standard deviation of;the Poisson distribution are equal.;2.38 In a Normal distribution the Z value;represents the number of standard deviations from the value X to the mean.;2.39 Assume you have a Normal distribution;representing the likelihood of completion times. The mean of this distribution is 10, and the;standard deviation is 3. The probability;of completing the project in 8 or fewer days is the same as the probability of;completing the project in 18 days or more.;2.40 Assume you have a Normal distribution;representing the likelihood of completion times. The mean of this distribution is 10, and the;standard deviation is 3. The probability;of completing the project in 7 or fewer days is the same as the probability of;completing the project in 13 days or more.;MULTIPLE CHOICE;2.41 The classical method of;determining probability is;(a) subjective probability.;(b) marginal probability.;(c) objective probability.;(d) joint probability.;(e) conditional probability.;2.42 Subjective probability;assessments depend on;(a) the total number of trials.;(b) logic and past history.;(c) the relative frequency of occurrence.;(d) the number of occurrences of the event.;(e) experience and judgment.;2.43 If two events are;mutually exclusive, then;(a) their probabilities can be added.;(b) they may also be collectively exhaustive.;(c) they cannot have a joint probability.;(d) if one occurs, the other cannot occur.;(e) all of the above;2.44 A ____________ is a;numerical statement about the likelihood that an event will occur.;(a) mutually exclusive construct;(b) collectively exhaustive construct;(c) variance;(d) probability;(e) standard deviation;2.45 A conditional probability;P(B|A) is equal to its marginal probability P(B) if;(a) it is a joint probability.;(b) statistical dependence exists.;(c) statistical independence exists.;(d) the events are mutually exclusive.;(e) P(A) = P(B).;2.46 The equation P(A|B) =;P(AB)/P(B) is;(a) the marginal probability.;(b) the formula for a conditional;probability.;(c) the formula for a joint probability.;(d) only relevant when events A and B are;collectively exhaustive.;(e) none of the above;2.47 Suppose that we determine the probability;of a warm winter based on the number of warm winters experienced over the past;10 years. In this case, we have used;______________.;(a) relative frequency;(b) the classical method;(c) the logical method;(d) subjective probability;(e) none of the above;2.48 Bayes' Theorem is used to;calculate;(a) revised probabilities.;(b) joint probabilities.;(c) prior probabilities.;(d) subjective probabilities.;(e) marginal probabilities.;2.49 If the sale of ice cream and pizza are;independent, then as ice cream sales decrease by 60 percent during the winter;months, pizza sales will;(a) increase by 60 percent.;(b) increase by 40 percent.;(c) decrease by 60 percent.;(d) decrease by 40 percent.;(e) cannot tell from information provided;2.50 If P(A) = 0.3, P(B) = 0.2;P(A and B) = 0.0, what can be said about events A and B?;(a) They are independent.;(b) They are mutually exclusive.;(c) They are posterior probabilities.;(d) none of the above;(e) all of the above;2.51 Suppose that 10 golfers enter a tournament;and that their respective skills levels are approximately the same. What is the probability that one of the first;three golfers that registered for the tournament will win?;(a) 0.100;(b) 0.001;(c) 0.300;(d) 0.299;(e) 0.700;2.52 Suppose that 10 golfers enter a tournament;and that their respective skills levels are approximately the same. Six of the entrants are female, and two of;those are older than 40 years old. Three;of the men are older than 40 years old. What;is the probability that the winner will be either female or older than 40 years;old?;(a) 0.000;(b) 1.100;(c) 0.198;(d) 0.200;(e) 0.900;2.53 Suppose that 10 golfers enter a tournament;and that their respective skills levels are approximately the same. Six of the entrants are female, and two of;those are older than 40 years old. Three;of the men are older than 40 years old.;What is the probability that the winner will be a female who is older;than 40 years old?;(a) 0.000;(b) 1.100;(c) 0.198;(d) 0.200;(e) 0.900;2.54 ?The probability of event B, given that event A has occurred? is known as a ____________ probability.;(a) continuous;(b) marginal;(c) simple;(d) joint;(e) conditional;ANSWER: e {easy;STATISTICALLY INDEPENDENT EVENTS};2.55 When does P(A|B) = P(A)?;(a) A;and B are mutually exclusive;(b) A;and B are statistically independent;(c) A;and B are statistically dependent;(d) A;and B are collectively exhaustive;(e) P(B);= 0;2.56 A consulting firm has;received 2 Super Bowl playoff tickets from one of its clients. To;be fair, the firm is;randomly selecting two different employee names to ?win? the tickets. There are;6 secretaries, 5 consultants and 4 partners in the firm. Which of the following;statements is nottrue?;(a) The probability;of a secretary winning a ticket on the first draw is 6/15.;(b) The probability;of a secretary winning a ticket on the second draw given a consultant won a;ticket on the first draw is 6/15.;(c) The probability;of a consultant winning a ticket on the first draw is 1/3.;(d) The probability;of two secretaries winning both tickets is 1/7.;(e) none of the above;2.57 A consulting firm has;received 2 Super Bowl playoff tickets from one of its clients. To;be fair, the firm is;randomly selecting two different employee names to ?win? the tickets. There are;6 secretaries, 5 consultants, and 4 partners in the firm. Which of the;following statements istrue?;(a) The probability;of a partner winning on the second draw given that a partner won on the first;draw is 3/14.;(b) The probability;of a secretary winning on the second draw given that a secretary won on the;first draw is 2/15.;(c) The probability;of a consultant winning on the second draw given that a consultant won on the;first draw is 5/14.;(d) The probability;of a partner winning on the second draw given that a secretary won on the first;draw is 8/30.;(e) none of the above;2.58 A consulting firm has received 2 Super Bowl;playoff tickets from one of its clients. To;be fair, the firm is;randomly selecting two different employee names to ?win? the tickets. There are;6 secretaries, 5 consultants, and 4 partners in the firm. Which of the;following statements istrue?;(a) The probability;of two secretaries winning is the same as the probability of a secretary;winning on the second draw given that a consultant won on the first draw.;(b) The probability;of a secretary and a consultant winning is the same as the probability of a;secretary and secretary winning.;(c) The probability;of a secretary winning on the second draw given that a consultant won on the;first draw is the same as the probability of a consultant winning on the second;draw given that a secretary won on the first draw.;(d) The probability;that both tickets will be won by partners is not the same as the probability;that a consultant and secretary will win.;(e) All of the above.;2.59 At a university with;1,000 business majors, there are 200 business students enrolled in an;introductory statistics course. Of these;200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students;enrolled in accounting but not enrolled in statistics. If a business student is selected at random;what is the probability that the student is either enrolled in accounting or;statistics, but not both?;(a) 0.45;(b) 0.50;(c) 0.40;(d) 0.05;(e) none of the above;2.60 At a university with 1,000 business majors;there are 200 business students enrolled in an introductory statistics;course. Of these 200 students, 50 are;also enrolled in an introductory accounting course. There are an additional 250 business students;enrolled in accounting but not enrolled in statistics. If a business student is selected at random;what is the probability that the student is enrolled in accounting?;(a) 0.20;(b) 0.25;(c) 0.30;(d) 0.50;(e) none of the above;2.61 At a university with 1,000 business majors;there are 200 business students enrolled in an introductory statistics;course. Of these 200 students, 50 are;also enrolled in an introductory accounting course. There are an additional 250 business students;enrolled in accounting but not enrolled in statistics. If a business student is selected at random;what is the probability that the student is enrolled in statistics?;(a) 0.05;(b) 0.20;(c) 0.25;(d) 0.30;(e) none of the above;2.62 At a university with;1,000 business majors, there are 200 business students enrolled in an;introductory statistics course. Of these;200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students;enrolled in accounting but not enrolled in statistics. If a business student is selected at random;what is the probability that the student is enrolled in both statistics and;accounting?;(a) 0.05;(b) 0.06;(c) 0.20;(d) 0.25;(e) none of the above;2.63 At a university with 1,000 business majors;there are 200 business students enrolled in an introductory statistics;course. Of these 200 students, 50 are;also enrolled in an introductory accounting course. There are an additional 250 business students;enrolled in accounting but not enrolled in statistics. If a business student is selected at random;and found to be enrolled in statistics, what is the probability that the;student is also enrolled in accounting?;(a) 0.05;(b) 0.30;(c) 0.20;(d) 0.25;(e) none of the above;2.64 Suppose that, when the temperature is;between 35 and 50 degrees, it has historically rained 40% of the time. Also, historically the month of April has had;a temperature between 35 and 50 degrees on 25 days. You have scheduled a golf tournament for;April 12. What is the probability that;players will experience rain and a temperature between 35 and 50 degrees?;(a) 0.333;(b) 0.400;(c) 0.833;(d) 1.000;(e) 0.480;2.65 Suppose that;historically, April has experienced rain and a temperature between 35 and 50;degrees on 20 days. Also, historically;the month of April has had a temperature between 35 and 50 degrees on 25;days. You have scheduled a golf;tournament for April 12. If the;temperature is between 35 and 50 degrees on that day, what will be the;probability that the players will get wet?;(a) 0.333;(b) 0.667;(c) 0.800;(d) 1.000;(e) 0.556;2.66 At a university with;1,000 business majors, there are 200 business students enrolled in an;introductory;statistics course. Of these 200, 50 are;also enrolled in an introductory accounting;course. There are an additional 250 business students;enrolled in accounting but not enrolled;in statistics. If a business student is;selected at random, what is the probability that the;student;is enrolled in neither accounting nor statistics?;(a) 0.45;(b) 0.50;(c) 0.55;(d) 0.05;(e) none of the above;2.67 At a university with 1,000 business majors;there are 200 business students enrolled in an introductory statistics;course. Of these 200, 50 are also;enrolled in an introductory accounting course.;There are an additional 250 business students enrolled in accounting but;not enrolled in statistics. If a;business student is selected at random, what is the probability that the;student is not enrolled in accounting?;(a) 0.20;(b) 0.25;(c) 0.30;(d) 0.50;(e) none of the above;2.68 At a university with 1,000 business majors;there are 200 business students enrolled in an introductory statistics;course. Of these 200, 50 are also;enrolled in an introductory accounting course.;There are an additional 250 business students enrolled in accounting but;not enrolled in statistics. If a;business student is selected at random, what is the probability that the;student is not enrolled in statistics?;(a) 0.05;(b) 0.20;(c) 0.25;(d) 0.80;(e) none of the above;2.69 A production process is known to produce a;particular item in such a way that 5 percent of these are defective. If two;items are randomly selected as they come off the production line, what is the;probability that the second item will be defective?;(a) 0.05;(b) 0.005;(c) 0.18;(d) 0.20;(e) none of the above;2.70 A production process is known to produce a;particular item in such a way that 5 percent of these are defective. If two items;are randomly selected as they come off the production line, what is the;probability that both are defective (assuming that they are independent)?;(a) 0.0100;(b) 0.1000;(c) 0.2000;(d) 0.0025;(e) 0.0250;ANSWER: d {moderate;STATISICALLY INDEPENDENT EVENTS: AACSB: Analytic Skills};2.71 A company is;considering producing some new Gameboy electronic games. Based on past records, management believes;that there is a 70 percent chance that each of these will be successful, and a;30 percent chance of failure. Market research may be used to revise these;probabilities. In the past, the;successful products were predicted to be successful based on market research 90;percent of the time. However, for;products that failed, the market research predicted these would be successes 20;percent of the time. If market research;is performed for a new product, what is the probability that the results;indicate a successful market for the product and the product is actually not successful?;(a) 0.63;(b) 0.06;(c) 0.07;(d) 0.24;(e) 0.27;ANSWER: b {moderate;REVISING PROBABILITIES WITH BAYE?S THEOREM, AACSB: Analytic Skills};2.72 A company is considering producing some new;Gameboy electronic games. Based on past;records, management believes that there is a 70 percent chance that each of;these will be successful, and a 30 percent chance of failure. Market research;may be used to revise these probabilities.;In the past, the successful products were predicted to be successful based;on market research 90 percent of the time.;However, for products that failed, the market research predicted these;would be successes 20 percent of the time.;If market research is performed for a new product, what is the;probability that the results indicate an unsuccessful market for the product;and the product is actually successful?;(a) 0.63;(b) 0.06;(c) 0.07;(d) 0.24;(e) 0.21;2.73 A company is considering producing some new;Gameboy electronic games. Based on past;records, management believes that there is a 70 percent chance that each of;these will be successful, and a 30 percent chance of failure. Market research;may be used to revise these probabilities.;In the past, the successful products were predicted to be successful;based on market research 90 percent of the time. However, for products that failed, the market;research predicted these would be successes 20 percent of the time. If market research is performed for a new;product, what is the probability that the results indicate an unsuccessful;market for the product and the product is actually unsuccessful?;(a) 0.63;(b) 0.06;(c) 0.07;(d) 0.24;(e) 0.21;2.74 A company is;considering producing some new Gameboy electronic games. Based on past records, management believes;that there is a 70 percent chance that each of these will be successful, and a;30 percent chance of failure. Market research may be used to revise these;probabilities. In the past, the;successful products were predicted to be successful based on market research 90;percent of the time. However, for products;that failed, the market research predicted these would be successes 20 percent;of the time. If market research is;performed for a new product, what is the probability that the product will be;successful if the market research indicates a success?;(a) 0.10;(b) 0.90;(c) 0.91;(d) 0.63;(e) 0.09;ANSWER: c {hard, REVISING;PROBABILITIES WITH BAYE?S THEOREM, AACSB: Analytic Skills};2.75 A dry cleaning business offers a pick-up;and delivery service for a 10 percent surcharge. Management believes 60 percent;of customers will take advantage of this service. They are also considering;offering customers the option of opening an account and receiving monthly;bills. They believe 60 percent of their customers (regardless of whether or not;they use the pick-up service) will use the account service. If the two services;are introduced to the market, what is the probability a customer uses both;services?;(a) 0.12;(b) 0.60;(c) 0.36;(d) 0.24;(e) none of the above;2.76 A dry cleaning business offers a pick-up;and delivery service for a 10 percent surcharge. Management believes 60 percent;of the existing customers will take advantage of this service. They are also;considering offering customers the option of opening an account and receiving;monthly bills. They believe 60 percent of customers (regardless of whether or;not they use the pick-up service) will use the account service. If the two;services are introduced to the market, what is the probability that a customer;uses only one of these services?;(a) 0.40;(b) 0.60;(c) 0.48;(d) 0.24;(e) none of the above;2.77 A dry cleaning business offers a pick-up and;delivery service for a 10 percent surcharge. Management believes 60 percent of;the existing customers will take advantage of this service. They are also;considering offering customers the option of opening an account and receiving;monthly bills. They believe 60 percent of customers (regardless of whether or;not they use the pick-up service) will use the account service. If the two;services are introduced to the market, what is the probability a customer uses;neither of these services?;(a) 0.16;(b) 0.24;(c) 0.80;(d) 0.36;(e) none of the above;2.78 A company is considering producing some new;Gameboy electronic games. Based on past;records, management believes that there is a 70 percent chance that each of;these will be successful, and a 30 percent chance of failure. Market research;may be used to revise these probabilities.;In the past, the successful products were predicted to be successful;based on market research 90 percent of the time. However, for products that failed, the market;research predicted these would be successes 20 percent of the time. If market research is performed for a new;product, what is the probability that the product will be successful if the;market research indicates a failure?;(a) 0.20;(b) 0.90;(c) 0.91;(d) 0.63;(e) 0.09;2.79 Which distribution is helpful in testing;hypotheses about variances?;(a) binomial distribution;(b) F;distribution;(c) normal distribution;(d) Poisson distribution;(e) exponential distribution;2.80 A company is considering producing two new;electronic games designed for the popular Gameboy toy. Based on market data, management believes;there is a 60 percent chance that a ?cops and robbers? game will be successful;and a 40 percent chance that a ?let?s play house? game will be successful. As these products are completely different;it may be assumed that the success of one is totally independent of the success;of the other. If two products are;introduced to the market, what is the probability that both are successful?;(a) 0.12;(b) 0.60;(c) 0.36;(d) 0.24;(e) none of the above;2.81 A company is considering producing two new;electronic games designed for the popular Gameboy toy. Based on market data, management believes;that there is a 60 percent chance that a ?cops and robbers? game will be;successful, and a 40 percent chance that ?let?s play house? game will be;successful. As these products are;completely different, it may be assumed that the success of one is totally;independent of the success of the other.;If two products are introduced to the market, what is the probability;that both are failures?;(a) 0.16;(b) 0.24;(c) 0.80;(d) 0.36;(e) none of the above;2.82 A company is considering producing some new;Gameboy electronic games. Based on past;records, management believes that there is a 70 percent chance that each of;these will be successful, and a 30 percent chance of failure. Market research;may be used to revise these probabilities.;In the past, the successful products were predicted to be successful;based on market research 90 percent of the time. However, for products that failed, the market;research predicted these would be successes 20 percent of the time. If market research is performed for a new;product, what is the probability that the results indicate a successful market;for the product and the product actually is successful?;(a) 0.90;(b) 0.54;(c) 0.60;(d) 0.63;(e) none of the above;2.83 The expected value of a;probability distribution is;(a) the measure of the spread of the;distribution.;(b) the variance of the distribution.;(c) the average value of the distribution.;(d) the probability density function.;(e) the range of continuous values from;point A to point B, inclusive.;2.84 Which of the following is;not true for discrete random variables?;(a) The expected value is the weighted;average of the values.;(b) They can assume only a countable number;of values.;(c) The probability of each value of the;random variable must be 0.;(d) The probability values always sum up to;one.;(e) none of the above;2.85 The number of phone calls coming into a;switchboard in the next five minutes will either be 0, 1, or 2. The;probabilities are the same for each of these (1/3). If X is the number of calls arriving in a;five-minute time period, what is the mean of X?;(a) 1/3;(b) 2/3;(c) 1;(d) 4/3;(e) none of the above;2.86 The number of phone calls coming into a;switchboard in the next five minutes will either be 0, 1, 2, 3, 4, 5, or 6. The;probabilities are the same for each of these (1/7). If X is the number of calls arriving in a;five-minute time period, what is the mean of X?;(a) 2;(b) 3;(c) 4;(d) 5;(e) none of the above;2.87 A discrete random variable has a mean of;400 and a variance of 64. What is the;standard deviation?;(a) 64;(b) 8;(c) 20;(d) 400;(e) none of the above;2.88 Which of the following is;not true about continuous random variables?;(a) They have an infinite set of values.;(b) The area under each of the curves;represents probabilities.;(c) The entire area under each of the curves;equals one.;(d) Some may be described by uniform;distributions or exponential distributions.;(e) They are useful for describing a;discrete probability distribution.;2.89 Properties of the normal;distribution include;(a) a continuous bell-shaped distribution.;(b) a discrete probability distribution.;(c) the number of trials is known and is;either 1, 2, 3, 4, 5, etc.;(d) the random variable can assume only a;finite or limited set of values.;(e) use in queuing.;2.90 Which of the following;characteristics is true for a normal probability distribution?;(a) The area under the curve is one.;(b) It is symmetrical.;(c) The midpoint is also the mean.;(d) Sixty-eight percent of the area under;the curve lies within one standard deviation of the mean.;(e) All of the above are true.;2.91 The number of cell phone minutes used by high school seniors;follows a normal distribution with a mean of 500 and a standard deviation of;50. What is the probability that a;student uses fewer than 600 minutes?;(a) 0;(b) 0.023;(c) 0.841;(d) 0.977;(e) none of the above;2.92 The number of cell;phone minutes used by high school seniors follows a normal distribution with a;mean of 500 and a standard deviation of 50.;What is the probability that a student uses fewer than 400 minutes?;(a) 0;(b) 0.023;(c) 0.159;(d) 0.977;(e) none of the above;2.93 The;number of cell phone minutes used by high school seniors follows a normal;distribution;with a mean of 500 and a standard deviation of 50. What is the probability;that a student uses more than 350 minutes?;(a) 0.001;(b) 0.999;(c) 0.618;(d) 0.382;(e) none of the above;2.94 The number of cell;phone minutes used by high school seniors follows a normal distribution with a;mean of 500 and a standard deviation of 50.;What is the probability that a student uses more than 580 minutes?;(a) 0.152;(b) 0.0548;(c) 0.848;(d) 0.903;(e) none of the above;\;2.95 Data for a particular subdivision near downtown Houston indicate that the average price per;square foot for a home is $100 with a standard deviation of $5 (normally;distributed). What is the probability;that the average price per square foot for a home is greater than $110?;(a) 0;(b) 0.023;(c) 0.841;(d) 0.977;(e) none of the above;2.96 Data for a particular subdivision near downtown Houston indicate;that the average price per square foot for a home is $100 with a standard;deviation of $5 (normally distributed).;What is the probability that the average price per square foot for a;home is greater than $90?;(a) 0;(b) 0.023;(c) 0.159;(d) 0.977;(e) none of the above;2.97 Data for a particular subdivision near downtown Houston indicate;that the average price per square foot for a home is $100 with a standard;deviation of $5 (normally distributed).;What is the probability that the average price per square foot for a;home is less than $85?;(a) 0.001;(b) 0.999;(c) 0.618;(d) 0.382;(e) none of the above;2.98 Data for a particular subdivision near downtown Houston indicate that the average price per;square foot for a home is $100 with a standard deviation of $5 (normally;distributed). What is the probability;that the average price per square foot for a home is less than $108?;(a) 0.152;(b) 0.097;(c) 0.848;(d) 0.9452;(e) none of the above;2.99 The time required to complete;a project is normally distributed with a mean of 80 weeks and a;standard deviation of 10;weeks. The construction company must pay;a penalty if the project is;not finished by the due date in the;contract. If a construction company;bidding on this contract;puts in a due date of 80;weeks, what is the probability that they will have to pay a penalty?;(a) 0;(b) 1.000;(c) 0.500;(d) 1/8;(e) none of the above;2.100 The time required to complete a project is;normally distributed with a mean of 80 weeks and a;standard deviation of 10 weeks. The;construction company must pay a penalty if the project is;not finished by the due date in the contract.;If a construction company bidding on this contract wishes to be 90;percent sure of finishing by the due date, what due date (project week #);should be negotiated?;(a) 81.28;(b) 92.8;(c) 81.82;(d).81954;(e) none of the above;2.101 The time required to travel downtown at 10am;on Monday morning is known to be normally distributed with a mean of 40 minutes;and a standard deviation of 5 minutes.;What is the probability that it will take less than 40 minutes?;(a) 0.50;(b) 0.20;(c) 0.80;(d) 1.00;(e) none of the above;2.102 The time required to travel downtown at 10am;on Monday morning is known to be normally distributed with a mean of 40 minutes;and a standard deviation of 5 minutes.;What is the probability that it will take less than 35 minutes?;(a) 0.84134;(b) 0.15866;(c) 0.53983;(d) 0.46017;(e) none of the above;2.103 The time required to travel downtown at 10am;on Monday morning is known to be normally distributed with a mean of 40 minutes;and a st

 

Paper#60363 | Written in 18-Jul-2015

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