1. (Devore: Section 3.3 #39) A chemical supply company currently has in stock 100-lb of a certain chemical, which it sells to customer in 5-lb batches. Let X be the number of batches ordered by a randomly chosen customer, and suppose that X has pmf I 12 3 4 p(x) 0.2 0.4 0.3 0.1 (a) Compute E(X) and Var(X). (b) Compute the expected number of pounds left after the next customer's order is shipped. (c) Compute the variance of the number of pounds left after the next customer's order is shipped.

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