A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 6-lb lots. Let X = the number of lots ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 2 3 4 P(x) 0.2 0.4 0.3 0.1 Compute E(X) and V(X). E(X) = 2.3 V(X) = 0.81 Then 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 = expected variance left =
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
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![A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 6-lb lots. Let X = the number of lots ordered by a randomly chosen customer, and suppose that X has the following pmf.
1
2
3
4
P(x)
0.2
0.4
0.3
0.1
Compute E(X) and V(X).
E(X) = 2.3
V(X) = 0.81
Then 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 =
expected variance left =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2573ecdd-68b9-4131-a6a9-a6f367bbfed7%2Fbb3b88ad-047b-4900-8325-c29a59b3e6c9%2Fyewwald_processed.png&w=3840&q=75)
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