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Computing probabilities with the ${\chi}^{2}_{n}$ distribution

score 99 · Answer 1 · 2026-03-25 06:09:36

99

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Computing probabilities with the ${\chi}^{2}_{n}$ distribution

Published on 25 Mar 2026 - 6:09

score 97 · Answer 2 · 2026-03-25 14:13:15

97

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In a town of a population of 1825, what is the probability that each day at least one has birthday?

Published on 25 Mar 2026 - 14:13

score 580 · Answer 3 · 2026-03-26 20:26:01

580

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Complementary Cumulative Distribution Function of a function of a random variable

Published on 26 Mar 2026 - 20:26

score 191 · Answer 4 · 2026-03-25 04:44:23

191

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Given probability density function of a speed of a car $P(s) = Ase^{\frac{-s}{s_0}}$, what's the mean value of the speed?

Published on 25 Mar 2026 - 4:44

score 8.4k · Answer 5 · 2026-03-25 09:22:30

8.4k

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Find Moment Generating Function from Probability Mass Function

Published on 25 Mar 2026 - 9:22

score 60 · Answer 6 · 2026-03-26 07:31:01

60

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Distribution satisfying Increasing failure rate

Published on 26 Mar 2026 - 7:31

score 237 · Answer 7 · 2026-03-23 21:04:18

237

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Distribution of correlation of fixed vector on vectors of n-sphere

Published on 23 Mar 2026 - 21:04

score 865 · Answer 8 · 2018-02-12 10:21:40

865

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Probability optimal solution dice problem

Published on 12 Feb 2018 - 10:21

score 3k · Answer 9 · 2026-03-21 00:45:49

3k

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Given that $X,Y$ are independent $N(0,1)$ , show that $\frac{XY}{\sqrt{X^2+Y^2}},\frac{X^2-Y^2}{2\sqrt{X^2+Y^2}}$ are independent $N(0,\frac{1}{4})$

Published on 21 Mar 2026 - 0:45

score 39 · Answer 10 · 2018-02-12 20:12:40

39

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Geometric distribution and expectation of polynomials of random variable

Published on 12 Feb 2018 - 20:12

score 718 · Answer 11 · 2026-03-26 20:25:48

718

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Mean and Variance of a Random Variable with a Given PDF

Published on 26 Mar 2026 - 20:25

score 33 · Answer 12 · 2026-03-25 06:22:53

33

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Let $X$ and $Y$ random variables, $\{X_{i}\}_{i=1}^{n}$, and $\{Y_{i}\}_{i=1}^{n}$ samples. Is $\{(X_{1},Y_{1})\}_{i=1}^{n}$ a sample of $Z=(X,Y)$?

Published on 25 Mar 2026 - 6:22

score 198 · Answer 13 · 2018-02-13 00:16:46

198

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Urn model problem

Published on 13 Feb 2018 - 0:16

score 904 · Answer 14 · 2018-02-13 06:15:37

A person rolls five fair dice simultaneously. Find the probability that the total number of spots showing is less than or equal to $11$

score 57 · Answer 15 · 2018-02-13 11:13:24

57

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Given that $X$~$Exp(1)$ and $Y$~$Exp(1)$, what is the likelihood of $x+y \gt 2$

Published on 13 Feb 2018 - 11:13

List Question

Computing probabilities with the ${\chi}^{2}_{n}$ distribution

In a town of a population of 1825, what is the probability that each day at least one has birthday?

Complementary Cumulative Distribution Function of a function of a random variable

Given probability density function of a speed of a car $P(s) = Ase^{\frac{-s}{s_0}}$, what's the mean value of the speed?

Find Moment Generating Function from Probability Mass Function

Distribution satisfying Increasing failure rate

Distribution of correlation of fixed vector on vectors of n-sphere

Probability optimal solution dice problem

Given that $X,Y$ are independent $N(0,1)$ , show that $\frac{XY}{\sqrt{X^2+Y^2}},\frac{X^2-Y^2}{2\sqrt{X^2+Y^2}}$ are independent $N(0,\frac{1}{4})$

Geometric distribution and expectation of polynomials of random variable

Mean and Variance of a Random Variable with a Given PDF

Let $X$ and $Y$ random variables, $\{X_{i}\}_{i=1}^{n}$, and $\{Y_{i}\}_{i=1}^{n}$ samples. Is $\{(X_{1},Y_{1})\}_{i=1}^{n}$ a sample of $Z=(X,Y)$?

Urn model problem

A person rolls five fair dice simultaneously. Find the probability that the total number of spots showing is less than or equal to $11$

Given that $X$~$Exp(1)$ and $Y$~$Exp(1)$, what is the likelihood of $x+y \gt 2$

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