a) Compute E(X)b) Then compute the expected number of pounds left after the next customer's order isshipped and the variance of the number of pounds left. [Hint: The number of pounds leftis a linear function of X: 100-5X.] 5. A chemical supply company currently has in stock 100 lb of a chemical, which it sells tocustomers in 5-lb containers. Let X=the number of containers ordered by a randomly chosencustomer, and suppose that X has pmfp(x)122.4334.1

Data given X 1 2 3 4 P(X=x) 0.2 0.4 0.3 0.1

5. A chemical supply company currently has in stock 100 lb of a chemical, which it sells to customers in 5-lb containers. Let X=the number of containers ordered by a randomly chosen customer, and suppose that X has pmf X p(x) 1 2 2 .4 3 3 4 .1

5. A chemical supply company currently has in stock 100 lb of a chemical, which it sells to customers in 5-lb containers. Let X=the number of containers ordered by a randomly chosen customer, and suppose that X has pmf X p(x) 1 2 2 .4 3 3 4 .1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 56E

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Question

a) Compute E(X)
b) 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: 100-5X.]

5. A chemical supply company currently has in stock 100 lb of a chemical, which it sells to
customers in 5-lb containers. Let X=the number of containers ordered by a randomly chosen
customer, and suppose that X has pmf
p(x)
1
2
2
.4
3
3
4
.1

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