A chemical supply company currently has in stock 100lb of a certain chemical, which it sells to customers in 5-lb batches. Let X be the number of batches ordered by a randomly chosen customer, and suppose that X has pmf X 1 2 3 4 f (x) 0.2 0.4 0.3 0.1 a. Compute E[X] and Var[X] b. Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A chemical supply company currently has in stock 100lb of a certain chemical,
which it sells to customers in 5-lb batches. Let X be the number of batches
ordered by a randomly chosen customer, and suppose that X has pmf
1
2
3
4
f (x)
a. Compute E[X] and Var[X]
0.2
0.4
0.3
0.1
b. Compute the expected number of pounds left after the next customer's
order is shipped and the variance of the number of pounds left
Transcribed Image Text:A chemical supply company currently has in stock 100lb of a certain chemical, which it sells to customers in 5-lb batches. Let X be the number of batches ordered by a randomly chosen customer, and suppose that X has pmf 1 2 3 4 f (x) a. Compute E[X] and Var[X] 0.2 0.4 0.3 0.1 b. Compute the expected number of pounds left after the next customer's order is shipped and the variance of the number of pounds left
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