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##### MATH302 QUIZ 2

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solution

**Question**

Question;Part 1 of 6 - 5.0/;5.0 Points;Question 1 of 20 1.0/;1.0 Points;The table below shows the number of TVs and the number of;Blu-Ray players that residents in an apartment building have according to the;type of apartment that they live in.;1-bedroom 2-bedroom studio;TV 8 6 4;Blu-Ray 3 1 2;What is the probability of randomly selecting an apartment;which has 1 bedroom or a Blu-Ray player?;A.0.273;B.0.583;C.0.125;D.0.708;Question 2 of 20 1.0/;1.0 Points;The staff at a small company includes: 4 secretaries, 20;technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is;selected at random, what is the probability that he or she is a factory worker?;A.1/8;B.1/4;C.2/5;D.5/8;Question 3 of 20 1.0/;1.0 Points;What is the probability of drawing two queens in a row from;a standard deck of cards without replacement?;A.0.0015;B.0.0059;C.0.0045;D.0.0385;Question 4 of 20 1.0/;1.0 Points;Sue has 10 pictures but only has space in her apartment to;hang 4 of them on a wall. The number of different arrangements of four pictures;from a selection of ten pictures is;A.5,040;B.210;C.151,200;D.24;Question 5 of 20 1.0/;1.0 Points;If events A and B are mutually exclusive, then the;probability of both events occurring simultaneously is equal to;A.1.0;B.any value between 0.5 and 1.0;C.0.0;D.0.5;Part 2 of 6 - 4.0/;5.0 Points;Question 6 of 20 1.0/;1.0 Points;The variance of a binomial distribution for which n = 100;and p = 0.20 is;A.80;B.20;C.16;D.100;Question 7 of 20 1.0/;1.0 Points;The following data were obtained from a survey of college;students. The variable X represents the number of non-assigned books read;during the past six months.;x 0 1 2 3 4 5;P (X=x) 0.20 0.25 0.20 0.15 0.10 0.10;What is the expected value of X?;A.3.65;B.1.20;C.6.25;D.2.0;Question 8 of 20 0.0/;1.0 Points;Suppose that 50 identical batteries are being tested. After;8 hours of continuous use, assume that a given battery is still operating with;a probability of 0.70 and has failed with a probability of 0.30.;What is the probability that fewer than 25 batteries will;last at least 8 hours?;A.0.8967;B.0.0024;C.0.9991;D.0.0009;Question 9 of 20 1.0/;1.0 Points;The binomial probability distribution is used with;A.a discrete random variable;B.either a discrete or a continuous random;variable, depending on the variance;C.either a discrete or a continuous random;variable, depending on the sample size;D.a continuous random variable;Question 10 of 20 1.0/;1.0 Points;There are two types of random variables, they are;A.complementary and cumulative;B.discrete and continuous;C.real and unreal;D.exhaustive and mutually exclusive;Part 3 of 6 - 0.0/;4.0 Points;Question 11 of 20 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;The following data were obtained from a survey of college;students. The variable X represents the number of non-assigned books read;during the past six months.;x 0 1 2 3 4 5 6;P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03;Find P(1 < X < 5).;Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate;entry. 0.80;Question 12 of 20 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a;and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;In February 2002 the Argentine peso lost 70% of its value;compared to the United States dollar. This devaluation drastically raised the;price of imported products. According to a survey conducted by AC Nielsen in;April 2002, 68% of the consumers in Argentina were buying fewer products than;before the devaluation, 24% were buying the same number of products, and 8%;were buying more products. Furthermore, in a trend toward purchasing;less-expensive brands, 88% indicated that they had changed the brands they;purchased. Suppose the following complete set of results were reported. Use the;following data to answer this question.;Number of Products Purchased;Brands Purchased Fewer Same More Total;Same 10 14 24 48;Changed 262 82 8 352;Total 272 96 32 400;What is the probability that a consumer selected at random;purchased fewer products than before? Place your answer, rounded to 4 decimal;places, in the blank. 0.6550;Question 13 of 20 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;The following data were obtained from a survey of college;students. The variable X represents the number of non-assigned books read;during the past six months.;x 0 1 2 3 4 5 6;P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03;What is the expected value of X? Place your answer, rounded;to two decimal places in the blank. For example, 4.56 would be a legitimate;entry. 2.62;Question 14 of 20 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Find the expected value of the following probability;distribution.;X 1 2 3 4 5;P(X) 0.05 0.20 0.35 0.25 0.15;Round your answer to two decimal place as necessary. For;example, 4.56 would be a legitimate entry.;Expected value =;3.10;Feedback: Mean = (1)(0.05) + (2)(0.20) + (3)(0.35) + (4)(0.25);+ (5)(0.15) = 3.25;Part 4 of 6 - 3.0/;4.0 Points;Question 15 of 20 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Mothers Against Drunk Driving (MADD) is a very visible group;whose main focus is to educate the public about the harm caused by drunk;drivers. A study was recently done that emphasized the problem we all face with;drinking and driving. Five hundred accidents that occurred on a Saturday night;were analyzed. Two items noted were the number of vehicles involved and whether;alcohol played a role in the accident. The numbers are shown below;Number of Vehicles Involved;Did alcohol play a role? 1 2 3;Yes 60 110 30 200;No 40 215 45 300;100 325 75;Given that 3 vehicles were involved, what proportion of;accidents involved alcohol? Place your answer, rounded to 2 decimal places, in;the blank. For example. 0.23 is a legitimate entry. 0.40;Question 16 of 20 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;A restaurant menu has a price-fixed complete dinner that;consists of an appetizer, entr?e, beverage, and dessert. You have a choice of;five appetizers, ten entrees, three beverages, and six desserts. How many;possible complete dinners are possible? Place your answer, as a whole number?no;decimal places?in the blank. For example 176 would be a legitimate entry 900;Question 17 of 20 0.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;An ice cream vendor sells three flavors: chocolate, strawberry;and vanilla. Forty five percent of the sales are chocolate, while 30% are;strawberry, with the rest vanilla flavored. Sales are by the cone or the cup.;The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%;60%, and 40%, respectively. For a randomly selected sale, define the following;events;= chocolate chosen;= strawberry chosen;= vanilla chosen;= ice cream on a cone;ice cream in a cup;Find the probability that the ice cream was sold in a cup;and was chocolate flavor. Place your;answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be;a legitimate entry. 0.5466;Question 18 of 20 1.0/;1.0 Points;Accepted characters: numbers, decimal point markers (period;or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000);E" or "e" (used in scientific notation). NOTE: For;scientific notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where;a" and "b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is;valid whereas {9i} is not.;Mothers Against Drunk Driving (MADD) is a very visible group;whose main focus is to educate the public about the harm caused by drunk;drivers. A study was recently done that emphasized the problem we all face with;drinking and driving. Five hundred accidents that occurred on a Saturday night;were analyzed. Two items noted were the number of vehicles involved and whether;alcohol played a role in the accident. The numbers are shown below;Number of Vehicles Involved;Did alcohol play a role? 1 2 3;Yes 60 110 30 200;No 40 215 45 300;100 325 75;Given that multiple vehicles were involved, what proportion;of accidents involved alcohol?;Place your answer, rounded to 2 decimal places, in the;blank. For example, 0.23 is a legitimate entry.;0.35;Part 5 of 6 - 1.0/;1.0 Points;Question 19 of 20 1.0/;1.0 Points;If A and B are two independent events with P(A) = 0.20 and;P(B) = 0.60, then P(A and B) = 0.80;True;False;Part 6 of 6 - 1.0/;1.0 Points;Question 20 of 20 1.0/;1.0 Points;A binomial experiment has exactly two outcomes, so the;probability of any binomial experiment is always 0.5 or 50%.;True;False

Paper#60598 | Written in 18-Jul-2015

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