4. Suppose there are N multiple-choice questions in an examination. Each question has 4 choices. You have a probability of 0.6 of knowing the correct answer to a particular question. If you do not know the answer, you pick one at random. Your answer to different questions are independent of each other. (a) For a particular question, find the probability that you answer it correctly. (b) Suppose N = 3. Given that you have answered all questions correctly, what %D is the probability that you only know the answer to exactly two questions?
4. Suppose there are N multiple-choice questions in an examination. Each question has 4 choices. You have a probability of 0.6 of knowing the correct answer to a particular question. If you do not know the answer, you pick one at random. Your answer to different questions are independent of each other. (a) For a particular question, find the probability that you answer it correctly. (b) Suppose N = 3. Given that you have answered all questions correctly, what %D is the probability that you only know the answer to exactly two questions?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Transcribed Image Text:4. Suppose there are N multiple-choice questions in an examination. Each question
has 4 choices. You have a probability of 0.6 of knowing the correct answer to a
particular question. If you do not know the answer, you pick one at random. Your
answer to different questions are independent of each other.
(a) For a particular question, find the probability that you answer it correctly.
(b) Suppose N = 3. Given that you have answered all questions correctly, what
%D
is the probability that you only know the answer to exactly two questions?
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