Question: A continuous random variable Y has the probability density function y), where 1'! for 0 A continuous random variable Y has the probability density function

A continuous random variable Y has the probability density function f (y),

A continuous random variable Y has the probability density function y), where 1'! for 0 <_i y elsewhere . find the density function for u1='21"' by using method of distribution functions. yfs transformations. u2="{Y" expected value u derived this random variable>

A continuous random variable Y has the probability density function f (y), where f(y) = for O y 4, O elsewhere . (a) Find the density function for [Jl = 2 Y + 8 by using the method of distribution functions. (b) Find the density function for [JI = 2 Y +8 by using the method of transformations. (c) Find the density function for [J2 = (Y by using the method of distribution functions. (d) Find the expected value of [J2 by using the derived density for this random variable.

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