PDF of X is $f_X(u)=c(1−u^2)$ for some suitable constant c. Find c & PDF of Y where $Y=X^2$.
35095
Moments of random variable $X$ with PDF $f_X(x)=c\cdot(1 - x^2)$ on $(0,1)$, and PDF of $X^2$
54731
Derivation of chi-squared pdf with one degree of freedom from normal distribution pdf
1641
Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
30245
Finding distributions on $\mathbb{R^2}$ constrained by 2 equations.
31732
If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$
15025
Solve $xu_x+(x+y)u_y=1$ when $u(1,y)=y$
67532
If $X \sim \exp(3)$ what is the PDF of $Y=e^{2X}$?
64856
Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$
137550
Finding the derivatives of inverse functions at given point of c
116975
Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
26604
Generalized Chi-Squared Distribution PDF
117369
$X$ and $Y$ are independent rv having pdf $f(t)=\frac{1}{\pi} \frac{1}{1+t^2}$ determine pdf of $Z=\frac{X+Y}{3}$
13831
Find $ P(Z>X+Y)$ where $X,Y,Z \sim U(0,1)$ independently
31247
PDF of function of X
55071
pdf of a quotient of uniform random variables
151297
Second order partial of $f(x,y)=\frac{xy(x^2-y^2)}{x^2+y^2}$
44088
I have a complicated density function, how to find the constant?