A chemical supply company currently has in stock 100 Ib 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 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). batches E(X) = V(X) = batches? 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 linear function of X.) expected weight left Ib variance of weight left Ib2
A chemical supply company currently has in stock 100 Ib 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 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). batches E(X) = V(X) = batches? 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 linear function of X.) expected weight left Ib variance of weight left Ib2
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![A chemical supply company currently has in stock 100 Ib 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 p
1
3
4
p(x)
0.3
0.5
0.1
0.1
Compute E(X) and V(X).
E(X) =
batches
V(X) =
batches?
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
Ib
variance of weight left
Ib2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86bfc21f-7304-4d6a-8ae3-de059a5180e7%2F2ed2878e-6d9c-4a4a-b5df-7c8550acaec6%2F26x3mz_processed.png&w=3840&q=75)
Transcribed Image Text:A chemical supply company currently has in stock 100 Ib 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 p
1
3
4
p(x)
0.3
0.5
0.1
0.1
Compute E(X) and V(X).
E(X) =
batches
V(X) =
batches?
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
Ib
variance of weight left
Ib2
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