The random variable Y is related to the random variable X by the relationship; Y=2•X + 6. Given the PDF for the random variable X is f_{x}(x)=1 / 2 ; \quad 0<X \leq 2 find the probability density function f,(y) for therandom variable Y.Remember that the range for Y willbe [6,10] given the relationship above and the range[0,2] of the random variable X. Now compute the mean of the random variable Y. for theAfter you have computed the theoretical meanrandom variable Y, use the matlab code below to verifyDo they agree?your solution. X=2*rand (1,100000); %X is a uniform RV between 0 and 2Y=2*X+6; % Y is a RV formed from X mean (Y) % This is the mean of the RV Y

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The random variable Y is related to the random variable X by the relationship; Y=2•X + 6. Given the PDF for the random variable X is f_{x}(x)=1 / 2 ; \quad 0<X \leq 2 find the probability density function f,(y) for therandom variable Y.Remember that the range for Y willbe [6,10] given the relationship above and the ra