A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 4-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 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = batches V(X) = batches? 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 Ib variance of weight left Ib2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 4-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
0.5
0.1
0.1
Compute E(X) and V(X).
E(X) =
batches
V(X) =
batches?
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
Ib
variance of weight left
Ib2
Transcribed Image Text:A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 4-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 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = batches V(X) = batches? 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 Ib variance of weight left Ib2
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