For a certain type of copper wire, it is known that, on the average, 1.5 flaws occur per millimeter. (a). Assuming that the number of flaws is a Poisson random variable, what is the probability that no flaws occur in a certain portion of wire of length 5 millimeters? (b). What is the mean number of flaws in a portion of length 5 millimeters?

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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For a certain type of copper wire, it is known that, on the average, 1.5 flaws occur per millimeter.
(a). Assuming that the number of flaws is a Poisson random variable, what is the probability that no
flaws occur in a certain portion of wire of length 5 millimeters?
(b). What is the mean number of flaws in a portion of length 5 millimeters?
Transcribed Image Text:For a certain type of copper wire, it is known that, on the average, 1.5 flaws occur per millimeter. (a). Assuming that the number of flaws is a Poisson random variable, what is the probability that no flaws occur in a certain portion of wire of length 5 millimeters? (b). What is the mean number of flaws in a portion of length 5 millimeters?
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