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Probability Concepts and Applications test bank

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Question;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?

 

Paper#60359 | Written in 18-Jul-2015

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