List questions from normal-distribution

Published on 07 Apr 2026 - 3:53

53

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Z-Score +Table Usage

Published on 16 Jul 2020 - 23:56

35

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Given a $Z$-score of $-2$, is $\mathbb P (Z>-2) = \mathbb P(Z<2)$? How is it equal?

Published on 17 Jul 2020 - 3:06

191

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Find $\theta$ such that $W = X \cosθ +Y \sinθ \text{ and } Z = X \cosθ −Y \sinθ$ are independent.

Published on 25 Mar 2026 - 10:58

24

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Distribution of the mean of Brownian motions

Published on 04 Apr 2026 - 4:30

31

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Expected 2 means of normal distributions

Published on 28 Mar 2026 - 4:33

44

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How can I convert a certain rating score by using the following information? (picture included)

Published on 23 Feb 2026 - 11:49

62

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Evaluating $ \mathbb{P}(Y+X>a \cap X>b)$ when $(X,Y)$ is bivariate normal

Published on 25 Mar 2026 - 10:53

599

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arctan of ratio of two normal variables is uniform

Published on 29 Mar 2026 - 23:45

62

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Matrix-vector multiplication with random vector

Published on 30 Mar 2026 - 15:35

99

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Simplification of division of integral of standard normal distribution

Published on 22 Jul 2020 - 19:08

68

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$X_{1},X_{2},X_{3}\overset{i.i.d.}{\sim}N(0,1)$, find m.g.f. of $Y=X_{1}X_{2}+X_{1}X_{3}+X_{2}X_{3}$

Published on 22 Jul 2020 - 23:37

262

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Using characteristic functions to determine distribution of sum of independent normal random variables.

Published on 28 Mar 2026 - 3:27

33

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Integral from normal variable.

Published on 29 Mar 2026 - 6:27

157

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Is a column-wise and row-wise Gaussian matrix, jointly Gaussian?

Published on 26 Mar 2026 - 19:05

List Question

Minimizing a conditional probability involving normal distribution

Z-Score +Table Usage

Given a $Z$-score of $-2$, is $\mathbb P (Z>-2) = \mathbb P(Z<2)$? How is it equal?

Find $\theta$ such that $W = X \cosθ +Y \sinθ \text{ and } Z = X \cosθ −Y \sinθ$ are independent.

Distribution of the mean of Brownian motions

Expected 2 means of normal distributions

How can I convert a certain rating score by using the following information? (picture included)

Evaluating $ \mathbb{P}(Y+X>a \cap X>b)$ when $(X,Y)$ is bivariate normal

arctan of ratio of two normal variables is uniform

Matrix-vector multiplication with random vector

Simplification of division of integral of standard normal distribution

$X_{1},X_{2},X_{3}\overset{i.i.d.}{\sim}N(0,1)$, find m.g.f. of $Y=X_{1}X_{2}+X_{1}X_{3}+X_{2}X_{3}$

Using characteristic functions to determine distribution of sum of independent normal random variables.

Integral from normal variable.

Is a column-wise and row-wise Gaussian matrix, jointly Gaussian?

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