A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to customers in 7-Ib batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = | V(X) =| | batches | 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 ] lb 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 7-Ib batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 Compute E(X) and V(X). E(X) = | V(X) =| | batches | 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 ] lb variance of weight left Ib²
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 7-lb batches. Let
x = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.
1
2
3
4
p(x)
0.3
0.5
0.1
0.1
Compute E(X) and V(X).
batches
| batches?
E(X) =
V(X) =
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%2Ff8536f70-6afb-49b2-94d8-7d5f9820999c%2Fecf29912-c9a8-4835-af71-25a9ba5522fe%2Fwdtbvgg_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 7-lb batches. Let
x = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.
1
2
3
4
p(x)
0.3
0.5
0.1
0.1
Compute E(X) and V(X).
batches
| batches?
E(X) =
V(X) =
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
Expert Solution
Step 1
Given,
| X | 1 | 2 | 3 | 4 |
| P(X) | 0.3 | 0.5 | 0.1 | 0.1 |
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