a) Compute E(X) and V (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.

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A chemical supply company currently has in
stock 100 lb of a certain chemical, which it sells
to customers in 5-lb lots. Let X = the number of
lots ordered by a randomly chosen customer, and
suppose that X has pmf
1
2
3
4
p(x)| 0.2
0.4
0.3
0.1
a) Compute E(X) and V (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.
STAT310L Drob
Transcribed Image Text:A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb lots. Let X = the number of lots ordered by a randomly chosen customer, and suppose that X has pmf 1 2 3 4 p(x)| 0.2 0.4 0.3 0.1 a) Compute E(X) and V (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. STAT310L Drob
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