1. Let X be a Poisson random variable with parameter 4, and let Y = min(X, 3). (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 ].
2. Let X be a Poisson random variable with parameter 4, and let Y = min(X, 3). (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 ].
3. Let X be a Poisson random variable with parameter 4, and let Y = min(X, 3). (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 ].