Question

what is the density function of W=xsquare​

Answer 1

Answer:

answer is 1

Step-by-step explanation:

I hope this is help for you

Answer 2

Answer:

1

This theorem will be helpful

Theorem:

Let X have density function fX and let A={x : fX(x)>0}. If g is strictly monotone on A, then Y=g(X) has density

fY(y)=fX(g−1(y))|∂∂yg−1(y)|.

2

Consider the random variable X with probability density function

f(x)={3x2;0; if, 0<x<1 otherwise

Find the probability density function of Y=X2.

This is the first question of this type I have encountered, I have started by noting that since 0<x<1, we have that 0<x2<1. So X2 is distributed over (0,1). I'm not really sure how to progress or what method to take to actually find the pdf.