A machine manufactures electrical components for the car industry at the rate of 750 per hour. The probability a component is faulty is 0.013. Use both the binomial distribution and the corresponding Poisson approximation to find the probability that in a sample of 200 components (a) none are faulty (b) one is faulty (c) two are faulty

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 machine manufactures electrical components for
the car industry at the rate of 750 per hour. The
probability a component is faulty is 0.013. Use both
the binomial distribution and the corresponding
Poisson approximation to find the probability that in a
sample of 200 components
6.
(a) none are faulty
(b) one is faulty
(c) two are faulty
(d) three are faulty
(e) more than three are faulty
Transcribed Image Text:A machine manufactures electrical components for the car industry at the rate of 750 per hour. The probability a component is faulty is 0.013. Use both the binomial distribution and the corresponding Poisson approximation to find the probability that in a sample of 200 components 6. (a) none are faulty (b) one is faulty (c) two are faulty (d) three are faulty (e) more than three are faulty
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