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APU Math302 Statistics Quiz 2

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Question;See Attachment for moreaccurate quiz. Some tablesdid not post here.Question 1 of 20;1.0 Points;If;A and B are any two events with P(A) =.8 and P(B|A) =.4, then the joint;probability of A and B is;A.0.40;B.0.80;C.0.32;D.1.20;Reset Selection;Question 2 of 20;1.0 Points;If;two events are mutually exclusive, what is the probability that both occur;at the same time?;A.Cannot;be determined from the information given.;B.0.00;C.0.50;D.1.00;Reset Selection;Question 3 of 20;1.0 Points;In a recent study, the following;data were obtained in response to the question, ?Do you favor recycling in;your neighborhood??;Yes;No;No Opinion;Males;25;15;10;Females;30;10;10;If a person is picked at;random, what is the probability that the person is either male or has no;opinion regarding recycling?;A.3/5;B.3/10;C.4/5;D.7/10;Reset Selection;Question 4 of 20;1.0 Points;If;A and B are any two events with P(A) =.8 and then is;A..24;B.0.875;C.0.56;D.0.14;Reset Selection;Question 5 of 20;1.0 Points;The;result of tossing a coin once will be either head or tail. Let A and B be;the events of observing head and tail, respectively. The events A and B;are;A.conditional;B.independent;C.unilateral;D.mutually;exclusive;Reset Selection;Part;2 of 6 -;Question 6 of 20;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 greater than 30 batteries will last at least 8;hours?;A.0.9522;B.0.9152;C.0.0848;D.0.8594;Reset Selection;Question 7 of 20;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.0.667;B.0.138;C.0.179;D.0.862;Reset Selection;Question 8 of 20;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;Reset Selection;Question 9 of 20;1.0 Points;One;of the requirements for a binomial experiment is that there must be a(n);number of trials.;A.infinite;B.odd;C.random;D.fixed;Reset Selection;Question 10 of 20;1.0 Points;If;a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets;a sum of three, he wins $20. The cost to play the game is;$5. What is the expectation of this game?;A.$3.06;B.-$2.78;C.-$3.06;D.$2.78;Reset Selection;Part;3 of 6 -;Question 11 of 20;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;Given that a consumer changed;brands, what then is the probability that the consumer purchased fewer;products than before? Place your answer, rounded to 4 decimal places;in the blank.;Question 12 of 20;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 observed that electrical connectors manufactured by Jolt Electrical;Supply Company last an average of 18.2 months and follow a normal;distribution with a standard deviation of 1.7 months. Jolt agrees to;replace any connector that fails within 19 months. Out of 500 connectors;sold, how many does Jolt expect to replace, on average? Place your answer;rounded to the nearest whole number, in the blank. For example, 123 would;be a legitimate answer.;Question 13 of 20;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 a history class, students take a weekly multiple choice quiz consisting;of 6 questions, each with 4 possible answers. If a student randomly guesses;at the answer to each question for every quiz, then what is the mean number;of correct answers the student will get on each quiz?;Round your answer to one decimal place as necessary. For example, 4.5;would be a legitimate entry.;Answer;Question 14 of 20;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.;Suppose that the probability;that a new medication will cause a bad side effect is 0.03. If this;medication is given to 150 people, what is the probability that exactly;three of them will experience a bad side effect? Place your answer;rounded to 4 decimal places, in the blank.;Part;4 of 6 -;Question 15 of 20;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 on a cone and was;chocolate flavor. Place your answer, rounded to 4 decimal places, in;the blank. For exampe, 0.3456 would be a legitimate entry.;Question 16 of 20;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.;According to an Internet posting, 80% of adults enjoy;drinking beer. If a group of 3 adults is selected at random, find the;probability that none of them enjoy drinking;beer.;Place your answer,rounded to;three decimal places, in the blank. When;entering your answer do not use any labels or symbols other than a decimal;point. Simply provide the numerical value. For example;0.123 would be a legitimate entry.;Question 17 of 20;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 jar contains four white marbles, five red marbles, and six black marbles.;If a marble was selected at random, find the probability that it is white;or black. Place your answer, rounded to 2 decimal places in the blank. For;example 0.23 would be a legitimate entry.;Question 18 of 20;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. What is the probability that at least;two of the three vice presidents can attend the meeting? Place your answer;rounded to 3 decimal places, in the blank. For example, 0.123 would be a;legitimate entry.;Part;5 of 6 -;Question 19 of 20;1.0 Points;Suppose;A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.5, then;P(A or B) = 0.70.;True;False;Part;6 of 6 -;Question 20 of 20;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

 

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