Question 1: A manufacturer receives a shipment of 275 laptop computers of which 24 are defective. To test the shipment, the quality control engineer randomly, without replacement selects 8 computers from the shipment and tests them. The random variable X represents the number of non-defective computers in the sample. a) Which probability distribution is applicable for this scenario? Explain why. b) Write the parameter values for the applicable probability distribution. c) What are the mean and standard deviation of the random variable X?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 1:
A manufacturer receives a shipment of 275 laptop computers of which 24 are defective. To
test the shipment, the quality control engineer randomly, without replacement selects 8
computers from the shipment and tests them. The random variable X represents the
number of non-defective computers in the sample.
a) Which probability distribution is applicable for this scenario? Explain why.
b) Write the parameter values for the applicable probability distribution.
c) What are the mean and standard deviation of the random variable X?
d) What is the probability that all selected computer will not have defects?
e) Now, let's Y represent the number of defective computers in the sample. What are
the all possible values that Y can take?
What are the mean and standard deviation of the random variable Y?
What is the probability that at there are at most three defective computers in the
sample?
f)
g)
Transcribed Image Text:Question 1: A manufacturer receives a shipment of 275 laptop computers of which 24 are defective. To test the shipment, the quality control engineer randomly, without replacement selects 8 computers from the shipment and tests them. The random variable X represents the number of non-defective computers in the sample. a) Which probability distribution is applicable for this scenario? Explain why. b) Write the parameter values for the applicable probability distribution. c) What are the mean and standard deviation of the random variable X? d) What is the probability that all selected computer will not have defects? e) Now, let's Y represent the number of defective computers in the sample. What are the all possible values that Y can take? What are the mean and standard deviation of the random variable Y? What is the probability that at there are at most three defective computers in the sample? f) g)
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