a) What type of random experiment it is i.e. is it a binomial or hypergeometric? Give reasons to  support your answer. b) Find the probability that a sample contains 2 non defective gaskets. c) Find the expectation and variance of success in a sample of size 15.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A batch of 15 rocker cover gaskets contains 6 defective gaskets. If we draw samples of size 4 without 
replacement, from the batch of 15, then answer the following questions:
a) What type of random experiment it is i.e. is it a binomial or hypergeometric? Give reasons to 
support your answer.
b) Find the probability that a sample contains 2 non defective gaskets.
c) Find the expectation and variance of success in a sample of size 15.

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