Answer: A chemical supply company currently has in stock

Chapter 3, Problem 39E

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QUESTION:

Problem 39E

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf

Compute E(X) and V(X). Then 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.]

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QUESTION:

Problem 39E

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has pmf

Compute E(X) and V(X). Then 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.]

ANSWER:

Solution :

Step 1:

        It is given that a chemical supply company currently have a stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. If X= the number of batches ordered by a randomly chosen customer and X has pmf

 

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