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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 ].

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