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i. Find E(T). You can use the mean of an exponential distribution without proof, but you need to state it clearly.

i. Find E(T). You can use the mean of an exponential distribution without proof, but you need to state it clearly.

College Algebra
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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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.
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.
(c) The time T to answer a particular question has the following density function: Xexp(-At if you know the answer; fr(t) = 4A exp(-4At), otherwise. i. Find E(T). You can use the mean of an exponential distribution without proof, but you need to state it clearly.
Transcribed Image Text:(c) The time T to answer a particular question has the following density function: Xexp(-At if you know the answer; fr(t) = 4A exp(-4At), otherwise. i. Find E(T). You can use the mean of an exponential distribution without proof, but you need to state it clearly.
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