55. This week the number X of claims coming into an insurance of ce has a Poisson distribution with mean 100. The probability that any particular claim relates to automobile insurance is .6, independent of any other claim. If Y is the number of automobile claims, then Y is binomial with X trials, each with success probability .6.

a. Find and .

b. Use part

(a) to nd E(Y).

c. Use part

(a) to nd V(Y).