4) Suppose Cal Crouk is a crooked politician. Suppose that, on average, he lies 2 times in a five minute stretch. Suppose Cal has a half hour speech planned, and let X be the number of lies in Cal's speech. a) How is X distributed? b) What is the mean and variance of X c) What is the probability that Cal lies exactly 20 times?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4) Suppose Cal Crouk is a crooked politician. Suppose that, on average, he lies 2 times in
a five minute stretch. Suppose Cal has a half hour speech planned, and let X be the
number of lies in Cal's speech.
a) How is X distributed?
b) What is the mean and variance of X
c) What is the probability that Cal lies exactly 20 times?
Transcribed Image Text:4) Suppose Cal Crouk is a crooked politician. Suppose that, on average, he lies 2 times in a five minute stretch. Suppose Cal has a half hour speech planned, and let X be the number of lies in Cal's speech. a) How is X distributed? b) What is the mean and variance of X c) What is the probability that Cal lies exactly 20 times?
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