List questions from probability-distributions

Published on 25 Mar 2026 - 12:28

788

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If $X$ and $Y$ are independent $N(0,\sigma^2)$, then $X^2+Y^2$ and $X/Y$ are independent?

Published on 26 Mar 2026 - 19:02

219

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If $X,Y$ are independent standard normal, then $\frac{X^2}{X^2 +Y^2}$ has an Arcsine distribution

Published on 29 Mar 2026 - 19:11

50

Views

Inverse transform sampling implementation using a random generator and a list of numbers

Published on 17 Oct 2018 - 15:56

59

Views

Find the distribution of a function of a continuous random variable

Published on 17 Oct 2018 - 16:25

172

Views

To find the value of c and to find the PDF of mixed random variable

Published on 17 Oct 2018 - 17:08

421

Views

Find the PDF of $X^3$ where $X \sim N(0,1)$

Published on 25 Mar 2026 - 9:38

674

Views

Can the characteristic function of $\phi(t)$ satisfying $\phi(t)=\phi^2\left(\frac{t}{\sqrt{2}}\right)$ conclude it as C.F. of normal distribution?

Published on 25 Mar 2026 - 22:06

71

Views

Solving 2 simultaneous equations with indeces

Published on 02 Apr 2026 - 3:34

161

Views

Sum of Convolutions, Laplace Transform?

Published on 26 Mar 2026 - 9:40

39

Views

Ratio Distribution - Question about the solution on wolfram

Published on 17 Oct 2018 - 23:17

521

Views

Probability of sum of random variables: pivotal quantity

Published on 23 Feb 2026 - 8:25

918

Views

Expected value and standard deviation of a pmf function

Published on 26 Mar 2026 - 19:35

608

Views

Is there a hypothesis test for exponential distributions?

Published on 25 Mar 2026 - 16:06

155

Views

Compute Quantile Function that uses an Indicator function

Published on 18 Oct 2018 - 14:14

List Question

Showing $X$, $Y$ are not independent but $\operatorname{Cov}[X, Y] = 0$

If $X$ and $Y$ are independent $N(0,\sigma^2)$, then $X^2+Y^2$ and $X/Y$ are independent?

If $X,Y$ are independent standard normal, then $\frac{X^2}{X^2 +Y^2}$ has an Arcsine distribution

Inverse transform sampling implementation using a random generator and a list of numbers

Find the distribution of a function of a continuous random variable

To find the value of c and to find the PDF of mixed random variable

Find the PDF of $X^3$ where $X \sim N(0,1)$

Can the characteristic function of $\phi(t)$ satisfying $\phi(t)=\phi^2\left(\frac{t}{\sqrt{2}}\right)$ conclude it as C.F. of normal distribution?

Solving 2 simultaneous equations with indeces

Sum of Convolutions, Laplace Transform?

Ratio Distribution - Question about the solution on wolfram

Probability of sum of random variables: pivotal quantity

Expected value and standard deviation of a pmf function

Is there a hypothesis test for exponential distributions?

Compute Quantile Function that uses an Indicator function

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