A tabby cat will disturb its orange-and-white sibling 3.6 times every hour on average. (a) What is the probability that the tabby will disturb its sibling 5 times in the next hour? (b) What is the probability that the tabby will disturb its sibling 4 times in the next half hour? (c) What is the standard deviation of the number of times that the tabby will disturb its sibling in the next hour?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A tabby cat will disturb its orange-and-white sibling 3.6 times every hour on average.
(a) What is the probability that the tabby will disturb its sibling 5 times in the next hour?
(b) What is the probability that the tabby will disturb its sibling 4 times in the next half hour?
(c) What is the standard deviation of the number of times that the tabby will disturb its sibling in the next hour?

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Let X=no.of times a tabby cat will disturb itsorange- and-white siblingX~Poisson(λ=3.5/per hour)P(X=x)=e-3.5 3.5xx!   ;   x0

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