A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 7-Ib batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = | V(X) =| | batches | 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 ] lb variance of weight left Ib²

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