A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 4-1b batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 x p(x) 1 0.3 2 0.5 3 0.1 4 0.1 Compute E(X) and V(X). E(X) = batches V(X) = batches? Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left. [Hint: The number of pounds left is a linear function of X.] expected weight left variance of weight left