Question

If X, Z are independent, Y, Z are independent, then are XY and Z independent?

score 2.1k · Answer 1 · 2026-03-28 14:19:33

2.1k

Views

If X, Z are independent, Y, Z are independent, then are XY and Z independent?

Published on 28 Mar 2026 - 14:19

score 120 · Answer 2 · 2026-03-28 14:25:53

120

Views

Laws of large numbers for sample covariances when each random sample are just known to be integrable random vectors

Published on 28 Mar 2026 - 14:25

score 44 · Answer 3 · 2026-03-28 11:42:16

44

Views

Consecutive Poisson Distributions

Published on 28 Mar 2026 - 11:42

score 126 · Answer 4 · 2019-10-24 23:09:09

126

Views

In a family with two children, what are the chances, if the oldest child is a girl, that both children are girls?

Published on 24 Oct 2019 - 23:09

score 154 · Answer 5 · 2026-03-29 10:09:43

154

Views

Bayes Rule and Conditional Probability

Published on 29 Mar 2026 - 10:09

score 942 · Answer 6 · 2026-03-28 02:04:53

942

Views

Where did $X | Y \sim \text{Unif}(0, 1 - Y)$ come from?

Published on 28 Mar 2026 - 2:04

score 116 · Answer 7 · 2026-03-28 14:19:39

116

Views

Conditions for $X$ and $Y$ independent of $Z$

Published on 28 Mar 2026 - 14:19

score 118 · Answer 8 · 2019-10-27 08:30:37

118

Views

The probability that the second ball is white, without knowing type of the first drawn ball

Published on 27 Oct 2019 - 8:30

score 62 · Answer 9 · 2019-10-27 15:20:46

62

Views

Why is this counting way wrong, aces drawn from two halves of a shuffled deck

Published on 27 Oct 2019 - 15:20

score 34 · Answer 10 · 2019-10-28 01:38:59

34

Views

Proof of Conditional Probability

Published on 28 Oct 2019 - 1:38

score 69 · Answer 11 · 2019-10-28 02:39:53

69

Views

If $A$ and $B$ are independent events, show that $P(A | B \cap C) = P(A|C)$

Published on 28 Oct 2019 - 2:39

score 39 · Answer 12 · 2019-10-28 17:22:27

39

Views

Conditional probability of points in a plane

Published on 28 Oct 2019 - 17:22

score 974 · Answer 13 · 2026-03-28 17:40:22

974

Views

Conditional variance: How did the author get from $\text{Var}(Y | X) = E((Y - E(Y | X))^2 | X)$ to $\text{Var}(Y | X) = E(Y^2 | X) - (E(Y | X))^2$?

Published on 28 Mar 2026 - 17:40

score 57 · Answer 14 · 2019-10-29 15:08:32

57

Views

Is there a special name for $E[X|Y]=Y$?

Published on 29 Oct 2019 - 15:08

score 289 · Answer 15 · 2019-10-29 15:35:26

289

Views

Probability of having rolled the unfair die given the result of a roll.

Published on 29 Oct 2019 - 15:35

List Question

If X, Z are independent, Y, Z are independent, then are XY and Z independent?

Laws of large numbers for sample covariances when each random sample are just known to be integrable random vectors

Consecutive Poisson Distributions

In a family with two children, what are the chances, if the oldest child is a girl, that both children are girls?

Bayes Rule and Conditional Probability

Where did $X | Y \sim \text{Unif}(0, 1 - Y)$ come from?

Conditions for $X$ and $Y$ independent of $Z$

The probability that the second ball is white, without knowing type of the first drawn ball

Why is this counting way wrong, aces drawn from two halves of a shuffled deck

Proof of Conditional Probability

If $A$ and $B$ are independent events, show that $P(A | B \cap C) = P(A|C)$

Conditional probability of points in a plane

Conditional variance: How did the author get from $\text{Var}(Y | X) = E((Y - E(Y | X))^2 | X)$ to $\text{Var}(Y | X) = E(Y^2 | X) - (E(Y | X))^2$?

Is there a special name for $E[X|Y]=Y$?

Probability of having rolled the unfair die given the result of a roll.

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