a) X is a random variable giving time (in minutes) during which a certain electrical equipment is used at maximum load in a specified time period. If the probability density function is given by ;0

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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a) X is a random variable giving time (in minutes) during which a certain electrical
equipment is used at maximum load in a specified time period. If the probability
density function is given by
;0<x<1500
(1500)²
-(x- 3000)
(1500)²
f(x) =
;1500 < x<3000
%3D
to USI
elsewhere
Find the expected value of X.
Transcribed Image Text:a) X is a random variable giving time (in minutes) during which a certain electrical equipment is used at maximum load in a specified time period. If the probability density function is given by ;0<x<1500 (1500)² -(x- 3000) (1500)² f(x) = ;1500 < x<3000 %3D to USI elsewhere Find the expected value of X.
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