A continuous random variable X has the PDF fx(x)=kx2, 0 < ? < 1. a) What is the value of k ? b) Find the variance of X c) What is the value of m so that P[X<=m] = 1/2 ? d) Find the PDF of the new random variable Y obtained from X through the linear transformation Y=4X+1.

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A continuous random variable X has the PDF fx(x)=kx2, 0 < ? < 1.
a) What is the value of k ?
b) Find the variance of X
c) What is the value of m so that P[X<=m] = 1/2 ?
d) Find the PDF of the new random variable Y obtained from X through the linear
transformation Y=4X+1.

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