It rains one-dollar bills on Pluto at an average rate of 24.3 bills per hour. (a) What is the probability that exactly 20 one-dollar bills will fall in the next hour? (b) What is the probability that exactly 77 one-dollar bills will fall in the next three hours? (c) What is the standard deviation of the number of one-dollar bills that will fall 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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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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It rains one-dollar bills on Pluto at an average rate of 24.3 bills per hour.
(a) What is the probability that exactly 20 one-dollar bills will fall in the next hour?
(b) What is the probability that exactly 77 one-dollar bills will fall in the next three hours?
(c) What is the standard deviation of the number of one-dollar bills that will fall in the next hour?

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Step 1

given data 

λ = 24.3 per hour x = no. of bills int hour P(x=X) = e-λt(λt)xx!   _________poisson distribution

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