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##### apu math 302 quiz 2

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Question;Question 1 of 20;1.0/ 1.0 Points;If A and B are any two events with P(A) =.8 and f$P(B|ar{A})=;.7f$ then f$P(ar{A}igcap{B})f$ is;A..24;B.0.56;C.0.14;D.0.875;Answer Key;Question 2 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.24;B.210;C.151,200;D.5,040;Answer Key;Question 3 of 20;1.0/ 1.0 Points;If A and B are mutually exclusive events with P(A) = 0.30;and P(B) = 0.40, then the probability that either A or B or both occur is;A.0.12;B.0.30;C.0.70;D.0.10;Answer Key;Question 4 of 20;1.0/ 1.0 Points;If P(A) = P(A|B), then events A and B are said to be;A.mutually exclusive;B.complementary;C.exhaustive;D.independent;Answer Key;Question 5 of 20;1.0/ 1.0 Points;A gumball machine contains 300 grape flavored balls, 400;cherry flavored balls, and 500 lemon flavored balls. What is the probability of;getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed;and then replaced before choosing the next from the machine?;A.0.0264;B.0.0531;C.0.0347;D.0.0482;Answer Key;Part 2 of 6 - 4.0/;5.0 Points;Question 6 of 20;1.0/ 1.0 Points;A discrete probability distribution;A.can be estimated;from long-run proportions;B.is a tool that can;be used to incorporate uncertainty into models;C.is the distribution;of multiple random variables;D.lists all of the possible values of the;random variable and their corresponding probabilities;Answer Key;Question 7 of 20;1.0/ 1.0 Points;A drug is reported to benefit 40% of the patients who take;it. If 6 patients take the drug, what is the probability that 4 or more;patients will benefit?;A.0.138;B.0.667;C.0.862;D.0.179;Answer Key;Question 8 of 20;0.0/ 1.0 Points;We assume that the outcomes of successive trials in a;binomial experiment are;A.identical from;trial to trial;B.random numbers;between 0 and 1;In;C.probabilistically dependent;D.probabilistically;independent;Answer Key;Question 9 of 20;1.0/ 1.0 Points;Which term is NOT synonymous with the expected value of a;discrete probability distribution?;A.variance;B.theoretical average;C.mean;D.?;Answer Key;Question 10 of 20;1.0/ 1.0 Points;Find the variance of the following probability distribution.;X P(X);1 0.20;2 0.15;3 0.25;4 0.25;5 0.15;A.1.34;B.1.8;C.0.48;D.1.16;Answer Key;Part 3 of 6 - 3.0/;4.0 Points;Question 11 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.;It has been reported that 3% of all cars on the highway are;traveling at speeds in excess of 70 mph. If the speeds of four random;automobiles are measured via radar, what is the probability that at least one;car is going over 70 mph? Place your answer, rounded to four decimal places, in;the space..1147;Answer Key;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 and changed brands? Place your answer;rounded to 4 decimal places, in the blank.;.5984;Answer Key;Question 13 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.;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 standard deviation of X? Place your answer, rounded to two decimal;places in the blank. For example, 4.56 would be a legitimate entry. 1.62;Answer Key;Question 14 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.;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. 0.24;Answer Key;Part 4 of 6 - 2.0/;4.0 Points;Question 15 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.;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 alcohol was involved, what proportion of accidents;involved a single vehicle?;Place your answer, rounded to 2 decimal places, in the;blank. For example, 0.23 is a legitimate entry.;0.50;Answer Key;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 bag contains 12 colored balls, each ball being either;black or white. The probability of drawing a white ball twice with replacement;is 1/16. How many white balls are in;the bag? Place your answer in the blank;do not include any decimals or other marks. For example, 7 would be a;legitimate entry.;There are 3 white;balls in the bag.;Answer Key;Question 17 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.;If you have six books, but there is room for only four books;on the shelf, in how many ways can these books be arranged on the shelf? Place;your answer in the blank. Do not use any decimal places or commas. For example;45 would be a legitimate entry. 360;Answer Key;Question 18 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 president of a bank is attempting to arrange a meeting;with the three vice presidents for a Friday weekly meeting. He believes that;each of these three busy individuals, independently of the others, has about;40% chance of being able to attend the meeting. If the meeting will be held;only if every vice president can attend, what is the probability that the;meeting will take place? Place your answer, rounded to 3 decimal places, in the;blank. For example, 0.123 would be a legitimate entry..352;Answer Key;Part 5 of 6 - 1.0/;1.0 Points;Question 19 of 20;1.0/ 1.0 Points;Two events A and B are said to be independent if P(A and B);= P(A) + P(B);True;False;Answer Key;Part 6 of 6 - 0.0/;1.0 Points;Question 20 of 20;0.0/ 1.0 Points;A binomial experiment has exactly two outcomes, so the;probability of any binomial experiment is always 0.5 or 50%.;In;True;False;Answer Key;Feedback: While it is true that a binomial experiment must;have exactly two outcomes, that does not mean the probabilities of the outcomes;are 50/50.

Paper#62414 | Written in 18-Jul-2015

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