A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 3-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 2 3 4 0.5 0.1 0.1 p(x) Compute E(X) and V(X). E(X)= V(X) = 1 0.3 batches batches2 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 lb 16² variance of weight left

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 3-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.
2 3 4
0.5 0.1 0.1
x
p(x)
Compute E(X) and V(X).
E(X)=
V(X) =
1
0.3
batches
batches²
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
lb
variance of weight left
16²
Transcribed Image Text:A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 3-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 2 3 4 0.5 0.1 0.1 x p(x) Compute E(X) and V(X). E(X)= V(X) = 1 0.3 batches batches² 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 lb variance of weight left 16²
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