ity theory is taking a multiple-choice test. ior a particular question on the test the fraction of examinees who know the answer is 0.7; 0.3 is the fraction that will guess. The probability of answering a question correctly is 1 for an examinee who knows the answer and 1/3 for a guessee. (The number of multiplechoice alternatives is 3). (1) Compute the probability that a randomly selected examinee answers the question correctly. (2) Compute the probability that an examinee knew the answer to the question given that he or she has correctly answered it.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A large class in probability theory is taking a multiple-choice test. ior a particular
question on the test the fraction of examinees who know the answer is 0.7; 0.3 is the
fraction that will guess. The probability of answering a question correctly is 1 for an
examinee who knows the answer and 1/3 for a guessee. (The number of multiplechoice alternatives is 3).
(1) Compute the probability that a randomly selected examinee answers the question
correctly.
(2) Compute the probability that an examinee knew the answer to the question given
that he or she has correctly answered it.

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