Question

2-Customers are arriving to a shop according to Poisson process with mean 2.5 customers/hour. What is the probability that only 5 customers will arrive next two hours?

Answer 1

Solution:

Given: Customers are arriving to a shop according to Poisson process with mean 2.5 customers/hour.

per hour.

then mean for 2 hours is:

per two hours.

We have to find:

P( only 5 customers will arrive next two hours ) = .............?

P( X = 5) =...........?

Probability mass function of Poisson distribution is:

_{(Round final answer to specified number of decimal places)}