On average 2.3 costumers come to a shop per 8 minutes according to a Poisson distribution. a) Find the probability that there will come at most one customer in 8 minutes. b) A customer has just...

Extracted text: On average 2.3 costumers come to a shop per 8 minutes according to a Poisson distribution. a) Find the probability that there will come at most one customer in 8 minutes. b) A customer has just arrived. Find the probability that the next customer arrives within 5 minutes. c) Consider 24 non-overlapping 8-minute periods. Find the probability that the number of 8-minute periods where there will be a maximum of one customer is a minimum of 3 and a maximum of 13.