A continuous random variable X has a probability density function f(x) where f(x) = (l- x)', 0< X < 2 0 ,otherwise (i) Find the value of the constant c (ii) Find the cumulative distribution F(x) (ii) Evaluate pr[1.2sxs1.8]

A continuous random variable X has a probability density function f(x) where f(x) = (l- x)', 0< X < 2 0 ,otherwise (i) Find the value of the constant c (ii) Find the cumulative distribution F(x) (ii) Evaluate pr[1.2sxs1.8]

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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Question

A continuous random variable X has a probability density function f(x)
where
f(x) = (l- x)', 0< X < 2
0 ,otherwise
(i)
Find the value of the constant c
(ii)
Find the cumulative distribution F(x)
(ii) Evaluate pr[1.2sxs1.8]
(iv)
Evaluate the Variance of X

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