List questions from density-function

Published on 11 Jan 2019 - 3:39

125

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Given $ X \sim \exp(\lambda) $ find the density function of $Y=\frac{1}{1-X}$

Published on 15 Jan 2019 - 21:06

232

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I can't figure out a specific step in the solution for the following problem: Let $X \sim U(-1,3)\,$ and $\,Y=X^4 $, find the PDF of $Y$

Published on 26 Mar 2026 - 10:43

48

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Derive the probability density function of $Z = T_1 + T_2$.

Published on 25 Mar 2026 - 20:35

236

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Bounded function with finitely many discontinuities is integrable $\overset{?}{\Rightarrow}$ density of continuous distribution function is not unique

Published on 27 Mar 2026 - 6:08

50

Views

show $F(a)=\sideset{_{-\infty}}{^a}\int f(x)dx$ is a distribution function

Published on 20 Jan 2019 - 12:02

111

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Let $f(x,y) = \frac{1}{n!}(x-y)^n e^{-x} (0<y<x)$ be a joint density function

Published on 25 Mar 2026 - 9:27

171

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Marginal density for joint pdf of multiple random variables

Published on 25 Mar 2026 - 3:07

104

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Finding the probability density of the sum $Z=X+Y$ given a joint density function.

Published on 23 Jan 2019 - 21:14

62

Views

$L^1$ between the sections of two functions

Published on 24 Jan 2019 - 11:16

193

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Finding characteristic function then density function is given

Published on 26 Mar 2026 - 6:26

139

Views

pdf of transformed variable

Published on 25 Jan 2019 - 1:15

179

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Finding the law of X - Y when X and Y are not independent

Published on 26 Jan 2019 - 12:39

50

Views

Let $M \sim \operatorname{Geometric}(p)$ and $ X \vert M = m \sim $ Uniform discrete on {1,m}

Published on 26 Jan 2019 - 15:40

301

Views

Density argument

Published on 28 Jan 2019 - 11:34

List Question

Computing marginal distribution

Given $ X \sim \exp(\lambda) $ find the density function of $Y=\frac{1}{1-X}$

I can't figure out a specific step in the solution for the following problem: Let $X \sim U(-1,3)\,$ and $\,Y=X^4 $, find the PDF of $Y$

Derive the probability density function of $Z = T_1 + T_2$.

Bounded function with finitely many discontinuities is integrable $\overset{?}{\Rightarrow}$ density of continuous distribution function is not unique

show $F(a)=\sideset{_{-\infty}}{^a}\int f(x)dx$ is a distribution function

Let $f(x,y) = \frac{1}{n!}(x-y)^n e^{-x} (0<y<x)$ be a joint density function

Marginal density for joint pdf of multiple random variables

Finding the probability density of the sum $Z=X+Y$ given a joint density function.

$L^1$ between the sections of two functions

Finding characteristic function then density function is given

pdf of transformed variable

Finding the law of X - Y when X and Y are not independent

Let $M \sim \operatorname{Geometric}(p)$ and $ X \vert M = m \sim $ Uniform discrete on {1,m}

Density argument

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