A chemical supply company currently has in stock 100 lb of a certain chemical which it sells to customers in 7 1b batches Let X the number of batches ordered by a range suppose that X has the following pmf X p x Compute E X and V X E X V X 1 0 3 batches batches2 2 0 5 3 0 1 4 0 1 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 16 variance of weight left