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A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units.

A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A manufacturer receives a certain component from a supplier in shipments of 100 units. Two units in each shipment are selected at random and tested. If either one of the units is defective the shipment is rejected. Suppose a shipment has 5 defective units.

 

a. Construct the probability mass function for the number of defective units, X, in such a sample and show that it is a valid pmf. 

b. 2 reasons why is the function is a valid pmf 

c. Compute the mean and standard deviation of X.

P(X=x) = (0, X = 0 X = 1 X = 2 elsewhere
Transcribed Image Text:P(X=x) = (0, X = 0 X = 1 X = 2 elsewhere
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