A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made have the exponential distribution with parameter λ = 0.25. Suppose that the diameters of 10 pores are independent. a) Find the probability that more than seven of them have diameters less than 3 microns. b) Find the probability that exactly one of them has a diameter greater than 11 microns.

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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A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made have the exponential distribution with parameter λ = 0.25. Suppose that the diameters of 10 pores are independent. a) Find the probability that more than seven of them have diameters less than 3 microns. b) Find the probability that exactly one of them has a diameter greater than 11 microns.

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