Tom K. answered 09/22/20
Knowledgeable and Friendly Math and Statistics Tutor
This would be P(X <= 4) -P(X <= 0) when x ~ P(4)
In Excel, we can use =poisson.dist(4,4,1)-poisson.dist(0,4,1) = .6105

Annelie V.
asked 09/22/20A hotel received 4 complaints on average per day. What is the probability that on a given half day, between 1 and 4 complaints are received?
Tom K. answered 09/22/20
Knowledgeable and Friendly Math and Statistics Tutor
This would be P(X <= 4) -P(X <= 0) when x ~ P(4)
In Excel, we can use =poisson.dist(4,4,1)-poisson.dist(0,4,1) = .6105
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Robert Z.
This solution uses the wrong time period and therefore the wrong average occurrences per time period. The question specifies complaints in a HALF day, so the average is 2. This means you should calculate poisson.dist(4,2,1)-poisson.dist(0,2,1)09/22/20