Suppose that when a new machine is functioning well, 92% of the items produced are nondefective. Assume that a random sample of five parts produced on the machine is selected and we are interested in the number of defective parts found. Required: a) What are the conditions for this experiment to be considered a binomial experiment? Motivate. b) What is the probability that all parts selected will be defective? (3) c) What is the probability that none of the parts selected will be defective? (3) d) What is the probability that more than five parts will be defective? (2) e) What is the probability that at least three parts will be non-defective? (9)
Suppose that when a new machine is functioning well, 92% of the items produced are nondefective. Assume that a random sample of five parts produced on the machine is selected and we are interested in the number of defective parts found. Required: a) What are the conditions for this experiment to be considered a binomial experiment? Motivate. b) What is the probability that all parts selected will be defective? (3) c) What is the probability that none of the parts selected will be defective? (3) d) What is the probability that more than five parts will be defective? (2) e) What is the probability that at least three parts will be non-defective? (9)
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....
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Question
Suppose that when a new machine is
we are interested in the number of defective parts found.
Required:
a) What are the conditions for this experiment to be considered a binomial experiment?
Motivate.
b) What is the
c) What is the probability that none of the parts selected will be defective? (3)
d) What is the probability that more than five parts will be defective? (2)
e) What is the probability that at least three parts will be non-defective? (9)
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