The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter. a) What is the probability that a board 3 meters in length has no flaws? b) How long must a board be so that the probability it has no flaw is 0.5?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter. a) What is the probability that a board 3 meters in length has no flaws? b) How long must a board be so that the probability it has no flaw is 0.5?

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