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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Question
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)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you