The life span in hours of an electrical component is a random variable with cumu- lative distribution function 1 e-50, x>0 F(x) = eleswhere (a) Determine its probability density function. (b) Determine the probability that the life span of such a component will exceed 70 hours.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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Need help with probability.

The life span in hours of an electrical component is a random variable with cumu-
lative distribution function
1 e-50, x>0
F(x)
=
eleswhere
(a) Determine its probability density function.
(b) Determine the probability that the life span of such a component will exceed
70 hours.
Transcribed Image Text:The life span in hours of an electrical component is a random variable with cumu- lative distribution function 1 e-50, x>0 F(x) = eleswhere (a) Determine its probability density function. (b) Determine the probability that the life span of such a component will exceed 70 hours.
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