The number of computer shutdowns during any month has a Poisson distribution, averaging 0.25 shutdowns per month. (a) What is the probability of at least 3 computer shutdowns during the next year? (b)...

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The number of computer shutdowns during any month has a Poisson distribution, averaging 0.25 shutdowns per month.

(a) What is the probability of at least 3 computer shutdowns during the next year?


(b) During the next year, what is the probability of at least 3 months (out of 12) with exactly 1 computer shutdown in each?




Answered Same DayDec 25, 2021

Answer To: The number of computer shutdowns during any month has a Poisson distribution, averaging 0.25...

Robert answered on Dec 25 2021
120 Votes
a)
lambda= 0.25
p(x>=3) =1-p(x<=2)

=1-POISSON.DIST(2,0.25,TRUE)

0.002161
b)
Let Z shows the number of shutdown in a month.
Let Y shows the number of months having 1 shutdown.
It is binomial with parameter p=0.1947 and n=12.
So required probability is
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