# 6. Let X be a Poisson random variable with parameter ? = 5, and let Y = min(X, 12). (a) What is the

6. Let X be a Poisson random variable with parameter ? = 5, and let Y = min(X, 12).

(a) What is the p.m.f. of X?

(b) What is the mean of X?

(c) What is the variance of X?

(d) What is the p.m.f. of Y ?

(e) Compute E[Y ].