The number of defective parts produced per shift can be modeled using a random variable that has the Poisson distribution. Assume that, on average, three defective parts per shift are produced. (a) What is the probability that exactly four defective parts are produced in a given shift? (b) What is the probability that more than seven defective parts are produced in the next two shifts? (c) What is the probability that at the most eight defective parts are produced in the next three shifts?

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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The number of defective parts produced per shift can be modeled using a random
variable that has the Poisson distribution. Assume that, on average, three defective
parts per shift are produced.
(a) What is the probability that exactly four defective parts are produced in a given
shift?
(b) What is the probability that more than seven defective parts are produced in
the next two shifts?
(c) What is the probability that at the most eight defective parts are produced in
the next three shifts?

The number of defective parts produced per shift can be modeled using a random
variable that has the Poisson distribution. Assume that, on average, three defective
parts per shift are produced.
(a) What is the probability that exactly four defective parts are produced in a given
shift?
(b) What is the probability that more than seven defective parts are produced in
the next two shifts?
(c) What is the probability that at the most eight defective parts are produced in
the next three shifts?
Transcribed Image Text:The number of defective parts produced per shift can be modeled using a random variable that has the Poisson distribution. Assume that, on average, three defective parts per shift are produced. (a) What is the probability that exactly four defective parts are produced in a given shift? (b) What is the probability that more than seven defective parts are produced in the next two shifts? (c) What is the probability that at the most eight defective parts are produced in the next three shifts?
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