A chemical supply company currently has in stock 100 lb of a certain chemical, w

Question

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 8-lb 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 0.50.1 0.1 Compute E(X) and Vx) E(X) batches batches2 compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of poundslett expected weight left variance of weight left Hin The numbe0 pounds left a nearfunction lb

Explanation / Answer

E(X)=0.3(1)+0.5(2)+0.1(3)+0.1(4)= 2

For variance

X: 1 2 3 4

P(X):0.3 0.5 0.1 0.1

X-mean: -1 0 1 2

(X-mean)2:1 0 1 4

V(X)=0.3(1)+0.5(0)+0.1(1)+0.1(4)=0.8

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