Question

Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

score 140 · Answer 1 · 2026-05-07 05:44:31

140

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Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

Published on 07 May 2026 - 5:44

score 97 · Answer 2 · 2026-05-05 12:09:38

97

Views

Statistics based on empirical distribution

Published on 05 May 2026 - 12:09

score 291 · Answer 3 · 2026-05-07 11:28:47

291

Views

Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$

Published on 07 May 2026 - 11:28

score 107 · Answer 4 · 2026-05-06 10:06:54

107

Views

Comparing Exponentials of different rates

Published on 06 May 2026 - 10:06

score 202 · Answer 5 · 2026-05-06 04:17:14

202

Views

Linear transform of jointly distributed exponential random variables, how to identify domain?

Published on 06 May 2026 - 4:17

score 119 · Answer 6 · 2026-05-05 13:53:55

119

Views

Closed form of integration

Published on 05 May 2026 - 13:53

score 158 · Answer 7 · 2026-05-05 12:18:43

158

Views

Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$

Published on 05 May 2026 - 12:18

score 92 · Answer 8 · 2026-05-07 07:38:04

92

Views

weak limit similiar to central limit theorem

Published on 07 May 2026 - 7:38

score 74 · Answer 9 · 2026-05-06 02:41:08

74

Views

Probability question: two doors, select the correct door to win money, find expected earning

Published on 06 May 2026 - 2:41

score 70 · Answer 10 · 2026-05-05 18:55:29

70

Views

Calculating $\text{Pr}(X_1<X_2)$

Published on 05 May 2026 - 18:55

score 13k · Answer 11 · 2026-05-05 16:15:12

13k

Views

KL divergence between two multivariate Bernoulli distribution

Published on 05 May 2026 - 16:15

score 683 · Answer 12 · 2026-05-07 12:42:39

683

Views

Obtain the conditional distributions from the full posterior distribution

Published on 07 May 2026 - 12:42

score 144 · Answer 13 · 2026-05-07 12:41:23

144

Views

Given random variables $(T_1,T_2)$. Show that $T_1$ and $T_2$ are independent and exponentially distributed if..

Published on 07 May 2026 - 12:41

score 355 · Answer 14 · 2026-05-07 07:42:59

355

Views

Why has $\sup_{s \in (0,t)} B_s$ the same distribution as $\sup_{s \in (0,t)} B_s-B_t$ for a Brownian motion $(B_t)_{t \geq 0}$?

Published on 07 May 2026 - 7:42

score 149 · Answer 15 · 2026-05-05 15:18:35

149

Views

How to prove mutually independence?

Published on 05 May 2026 - 15:18

List Question

Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$

Statistics based on empirical distribution

Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$

Comparing Exponentials of different rates

Linear transform of jointly distributed exponential random variables, how to identify domain?

Closed form of integration

Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$

weak limit similiar to central limit theorem

Probability question: two doors, select the correct door to win money, find expected earning

Calculating $\text{Pr}(X_1<X_2)$

KL divergence between two multivariate Bernoulli distribution

Obtain the conditional distributions from the full posterior distribution

Given random variables $(T_1,T_2)$. Show that $T_1$ and $T_2$ are independent and exponentially distributed if..

Why has $\sup_{s \in (0,t)} B_s$ the same distribution as $\sup_{s \in (0,t)} B_s-B_t$ for a Brownian motion $(B_t)_{t \geq 0}$?

How to prove mutually independence?

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