Answered: E, x> 10 (0, х< 10 given by f (x) = a.… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 20E

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8. The probability density function of X , the lifetime of a certain type of electronic device(measured in hours) is
(10
x > 10
given by f (x) = {x2
x< 10
а.
Find P(X > 20)
b. What is the cumulative distribution function of X?
С.
What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What
assumptions are you making?

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