List questions from cumulative-distribution-functions

Published on 30 Oct 2021 - 7:33

411

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Let $f(x)=1, 0<x<1$, zero elsewhere, be the pdf of $X$. Find the cdf and pdf of $Y= \sqrt{X}$.

Published on 30 Oct 2021 - 20:32

266

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Joint Probability Density Functions under change of variables when one change is identity - meaning of it?

Published on 04 Nov 2021 - 11:41

1.1k

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Let $f(x)=x/6, x=1,2,3$, zero elsewhere, be the p.d.f. of $X$. Find the p.d.f. and c.d.f. of $Y=X^{2}$.

Published on 04 Nov 2021 - 22:48

33

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Query about probability expression containing max operator

Published on 12 Nov 2021 - 10:57

390

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Find CDF and PDF for Z=X/Y

Published on 13 Nov 2021 - 21:28

506

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Relation between Rayleigh and Chi-square random variable

Published on 17 Nov 2021 - 17:28

683

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How exactly Rayleigh, exponential and Chi-square distributions are related?

Published on 18 Nov 2021 - 11:13

684

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How to find the variance of x from a given cumulative distribution function when the function contains no variable x?

Published on 20 Nov 2021 - 18:15

22

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Confusion with usage of density function.

Published on 21 Nov 2021 - 1:25

30

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Can't find the join cumulative distribution function

Published on 21 Nov 2021 - 15:50

35

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For a given CDF compute $\Bbb P(X^2 \in A)$

Published on 22 Nov 2021 - 17:27

40

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Show that $P(X<t)=\sup_{s<t} \inf_{n\in\mathbb N} P(X_n<s)$ if $X_n\uparrow X$ a.s.

Published on 24 Nov 2021 - 9:39

69

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Show $E(X^k) = \int^\infty_0 (1-F_X(x))h(x) dx$

Published on 25 Nov 2021 - 1:53

25

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Estimate bias determination

Published on 25 Nov 2021 - 11:56

List Question

How to infer symmetry from CDFs for normal distribution?

Let $f(x)=1, 0<x<1$, zero elsewhere, be the pdf of $X$. Find the cdf and pdf of $Y= \sqrt{X}$.

Joint Probability Density Functions under change of variables when one change is identity - meaning of it?

Let $f(x)=x/6, x=1,2,3$, zero elsewhere, be the p.d.f. of $X$. Find the p.d.f. and c.d.f. of $Y=X^{2}$.

Query about probability expression containing max operator

Find CDF and PDF for Z=X/Y

Relation between Rayleigh and Chi-square random variable

How exactly Rayleigh, exponential and Chi-square distributions are related?

How to find the variance of x from a given cumulative distribution function when the function contains no variable x?

Confusion with usage of density function.

Can't find the join cumulative distribution function

For a given CDF compute $\Bbb P(X^2 \in A)$

Show that $P(X<t)=\sup_{s<t} \inf_{n\in\mathbb N} P(X_n<s)$ if $X_n\uparrow X$ a.s.

Show $E(X^k) = \int^\infty_0 (1-F_X(x))h(x) dx$

Estimate bias determination

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