A continuous random variable has probability density function given by F(x)={ ax, 0<=x<=1 b, 1<=x<=2 0,otherwise} If the mean is equal to 5 then i) Find the value of a and b ii) Find P(x =0.75)
A continuous random variable has probability density function given by F(x)={ ax, 0<=x<=1 b, 1<=x<=2 0,otherwise} If the mean is equal to 5 then i) Find the value of a and b ii) Find P(x =0.75)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Question
A continuous random variable has
F(x)={ ax, 0<=x<=1
b, 1<=x<=2
0,otherwise}
If the mean is equal to 5 then
i) Find the value of a and b
ii) Find
P(x =0.75)
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