A chemical supply company currently has in stock 100 lb 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. 1 0.2 2 0.4 3 0.3 4 0.1 X P(x) a. Compute E[X] and Var[X] b. Compute P(X < 3), P(X>3), P(X ≤ 3), P(X ≥ 3), P(1 < X <4), P(1

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Question 5
A chemical supply company currently has in stock 100 lb 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.
1
0.2
2
0.4
3
0.3
4
0.1
X
P (x)
a. Compute E[X] and Var[X]
b. Compute P(X<3), P(X>3), P(X ≤ 3), P(X ≥ 3), P(1<x<4),
P(1<x ≤ 4), P(1≤ x < 4), P(1 ≤ x ≤ 4)
Transcribed Image Text:Question 5 A chemical supply company currently has in stock 100 lb 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. 1 0.2 2 0.4 3 0.3 4 0.1 X P (x) a. Compute E[X] and Var[X] b. Compute P(X<3), P(X>3), P(X ≤ 3), P(X ≥ 3), P(1<x<4), P(1<x ≤ 4), P(1≤ x < 4), P(1 ≤ x ≤ 4)
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