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 ordere by a randomly chosen customer, and suppose that X has the following pmf. X p(x) Computer and V(X). V(X) = 2.8 1 0.3 2 0.5 3 4 0.1 0.1 X 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 90 variance of weight left 70 x lb * lb²

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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.
X
p(x)
Computer and V(X).
V(X) = 2.8
1
0.3
2
0.5
3
4
0.1 0.1
X 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
90
variance of weight left
70
x lb
* lb²
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. X p(x) Computer and V(X). V(X) = 2.8 1 0.3 2 0.5 3 4 0.1 0.1 X 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 90 variance of weight left 70 x lb * lb²
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