Question

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 6-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.

x	1	2	3	4
p(x)	0.3	0.5	0.1	0.1

Compute E(X) and V(X).

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    

Answer 1

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