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Flaws occur at random along the length of a thin copper wire. Let x represent the random variable that counts the number of flaws in a length of wire and it follows a Poisson's distribution. Suppose the average number of flaws is 2.3 per 1 millimeter. Determine the probability of a) exactly 2 flaws in 1 millimeter of wire; b) at most 2 flaws in 1 millimeter of wire; c) at least 3 flaws in 1 millimeter of wire; d) at least 1 flaw in 2 millimeters of wire.

Flaws occur at random along the length of a thin copper wire. Let x represent the random variable that counts the number of flaws in a length of wire and it follows a Poisson's distribution. Suppose the average number of flaws is 2.3 per 1 millimeter. Determine the probability of a) exactly 2 flaws in 1 millimeter of wire; b) at most 2 flaws in 1 millimeter of wire; c) at least 3 flaws in 1 millimeter of wire; d) at least 1 flaw in 2 millimeters of wire.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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22 Flaws occur at random along the length of a thin copper wire. Let x represent the random variable that counts the number of flaws in a length of wire and it follows a Poisson's distribution. Suppose the average number of flaws is 2.3 per 1 millimeter. Determine the probability of a) exactly 2 flaws in 1 millimeter of wire; b) at most 2 flaws in 1 millimeter of wire; c) at least 3 flaws in 1 millimeter of wire; d) at least 1 flaw in 2 millimeters of wire.
Transcribed Image Text:22 Flaws occur at random along the length of a thin copper wire. Let x represent the random variable that counts the number of flaws in a length of wire and it follows a Poisson's distribution. Suppose the average number of flaws is 2.3 per 1 millimeter. Determine the probability of a) exactly 2 flaws in 1 millimeter of wire; b) at most 2 flaws in 1 millimeter of wire; c) at least 3 flaws in 1 millimeter of wire; d) at least 1 flaw in 2 millimeters of wire.
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