The U.S. divorce rate has been reported as 3.8 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and is Poisson distributed, and that x = the number of divorces in this community during the coming year, determine the following:

a. E(x)
b. P(x = 1)
c. P(x = 4)
d. P(x ≤ 6)
e. P(2 ≤ x ≤ 5)