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The National Public Radio show Car Talk used to have a feature called "The Puzzler." Listeners were asked to send in answers to some puzzling questions-usually about cars but sometimes about probability (which, of course, must acco the incredible popularity of the program!). Suppose that for a car question, 800 answers were submitted, of which 60 are correct. (a) Suppose also that the hosts randomly select two answers from those submitted with replacement. Calculate the probability that both selected answers are correct. (For purposes of this problem, keep at least five digits to the right decimals.) (b) Suppose now that the hosts select the answers at random but without replacement. Use conditional probability to evaluate the probability that both answers selected are correct. How does this probability compare to the one computed in part (a)? O 2 * P(with replacement) = P(without replacement) O P(with replacement) = 2* P(without replacement) O P(with replacement) P(without replacement) O P(with replacement) << P(without replacement)

The National Public Radio show Car Talk used to have a feature called "The Puzzler." Listeners were asked to send in answers to some puzzling questions-usually about cars but sometimes about probability (which, of course, must acco the incredible popularity of the program!). Suppose that for a car question, 800 answers were submitted, of which 60 are correct. (a) Suppose also that the hosts randomly select two answers from those submitted with replacement. Calculate the probability that both selected answers are correct. (For purposes of this problem, keep at least five digits to the right decimals.) (b) Suppose now that the hosts select the answers at random but without replacement. Use conditional probability to evaluate the probability that both answers selected are correct. How does this probability compare to the one computed in part (a)? O 2 * P(with replacement) = P(without replacement) O P(with replacement) = 2* P(without replacement) O P(with replacement) P(without replacement) O P(with replacement) << P(without replacement)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The National Public Radio show Car Talk used to have a feature called "The Puzzler." Listeners were asked to send in answers to some puzzling questions-usually about cars but sometimes about probability (which, of course, must account for the incredible popularity of the program!). Suppose that for a car question, 800 answers were submitted, of which 60 are correct. (a) Suppose also that the hosts randomly select two answers from those submitted with replacement. Calculate the probability that both selected answers are correct. (For purposes of this problem, keep at least five digits to the right of the decimals.) (b) Suppose now that the hosts select the answers at random but without replacement. Use conditional probability to evaluate the probability that both answers selected are correct. How does this probability compare to the one computed in part (a)? O 2 * P(with replacement) = P(without replacement) O P(with replacement) = 2 * P(without replacement) P(with replacement) P(without replacement) P(with replacement) << P(without replacement) O P(with replacement) >> P(without replacement)
Transcribed Image Text:The National Public Radio show Car Talk used to have a feature called "The Puzzler." Listeners were asked to send in answers to some puzzling questions-usually about cars but sometimes about probability (which, of course, must account for the incredible popularity of the program!). Suppose that for a car question, 800 answers were submitted, of which 60 are correct. (a) Suppose also that the hosts randomly select two answers from those submitted with replacement. Calculate the probability that both selected answers are correct. (For purposes of this problem, keep at least five digits to the right of the decimals.) (b) Suppose now that the hosts select the answers at random but without replacement. Use conditional probability to evaluate the probability that both answers selected are correct. How does this probability compare to the one computed in part (a)? O 2 * P(with replacement) = P(without replacement) O P(with replacement) = 2 * P(without replacement) P(with replacement) P(without replacement) P(with replacement) << P(without replacement) O P(with replacement) >> P(without replacement)
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