A company purchases machine components after randomly selecting 15 components and testing for defects.  If the components have a 3% rate of defects, use the binomial distribution to find the probability of each:  a)  Getting no defects  (x=0 ). b)  Getting 2 or fewer (x ≤ 2 ) defects. c)  Getting 3 or more (x≥3 ) defects.

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 company purchases machine components after randomly selecting 15 components and testing for defects.  If the components have a 3% rate of defects, use the binomial distribution to find the probability of each: 

a)  Getting no defects  (x=0 ).

b)  Getting 2 or fewer (x ≤ 2 ) defects.

c)  Getting 3 or more (x≥3 ) defects.

d)  Find the mean and standard deviation for the number of defects.

e)  Would it be a rare event to have 4 defects?

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