hemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 6-lb batches. Let X the number of batches ordered by a randomly chosen customer, and suppose that owing pmf. 1 2 3 4 p(x) 0.3 0.5 0.1 0.1 mpute E(X) and V(X). batches batches? mpute 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.) pected weight left Ib riance of weight left Ib2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 6-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the
following pmf.
2
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.]
Ib
expected weight left
variance of weight left
Ib2
Transcribed Image Text:A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 6-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf. 2 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.] Ib expected weight left variance of weight left Ib2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman