Please help! The probability density function of a continuous random variable X is Find the probability density function of Y = X4. Solution Hi, If you like my answer rate me lifesaver first...that way only I can earn points. Thanks F(Y) = P (Y > y) = P (X^4 > y) = P(X > y ^ 0.25) = Fx(y^0.25) dx/ dy = d(y^0.25)/dy = 0.25/y^0.75 f(y) = F\'(Y) = Fx\'(y^0.25) = 30 y^0.5 8 (1 - y^0.25)^2 * dx/dy = 7.5*y^-0.25*(1- y^0.25)^2.

1. Please help! The probability density function of a continuous random variable X is Find the
probability density function of Y = X4.
Solution
Hi, If you like my answer rate me lifesaver first...that way only I can earn points.
Thanks F(Y) = P (Y > y) = P (X^4 > y) = P(X > y ^ 0.25) = Fx(y^0.25) dx/ dy = d(y^0.25)/dy =
0.25/y^0.75 f(y) = F'(Y) = Fx'(y^0.25) = 30 y^0.5 8 (1 - y^0.25)^2 * dx/dy = 7.5*y^-0.25*(1-
y^0.25)^2