A certain kind of sheet metal has an average of 9 defects per 18 ft?. Assuming a Poisson distribution, we will want to find the probability that a 36 ft? piece of sheet metal has at least 12 defects. (a) First find the mean number of defects per 36 ft? of this sheet metal. Give your answer as a fraction with no units (for example, if you find the mean to be 3 ( defects , then you would type 3/4" in the 36 ft answer box). defects 36 ft? (b) Then find the probability that a 36 ft piece of this sheet metal has at least 12 defects. Round this answer to 4 places after the decimal point, if necessary. P(at least 12 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 certain kind of sheet metal has an average of 9 defects per 18 ft?. Assuming a Poisson distribution, we
will want to find the probability that a 36 ft? piece of sheet metal has at least 12 defects.
(a) First find the mean number of defects per 36 ft? of this sheet metal. Give your answer as a fraction
3 ( defects
4 36 ft
, then you would type 3/4" in the
with no units (for example, if you find the mean to be
answer box).
defects
36 ft?
(b) Then find the probability that a 36 ft piece of this sheet metal has at least 12 defects. Round this
answer to 4 places after the decimal point, if necessary.
P(at least 12 defects) -
Transcribed Image Text:A certain kind of sheet metal has an average of 9 defects per 18 ft?. Assuming a Poisson distribution, we will want to find the probability that a 36 ft? piece of sheet metal has at least 12 defects. (a) First find the mean number of defects per 36 ft? of this sheet metal. Give your answer as a fraction 3 ( defects 4 36 ft , then you would type 3/4" in the with no units (for example, if you find the mean to be answer box). defects 36 ft? (b) Then find the probability that a 36 ft piece of this sheet metal has at least 12 defects. Round this answer to 4 places after the decimal point, if necessary. P(at least 12 defects) -
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