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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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