Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store.

a.Determine the expected number of customer arrivals for a five-minute period. (hint: this is the u)

b.If X = the number of arrivals per minute:

Find the probability of 10 customers or less arriving within a minute.

c.Find the probability of more than 7 customers arriving within a minute.

d.Find the probability of 3 customers arriving within a minute.