Question

Let $X \sim N(\mu = 16.1, \sigma^2 = 2.4^2).$ Standardize to compute $P(X > 17.8)$

score 71 · Answer 1 · 2018-06-27 21:35:54

71

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Let $X \sim N(\mu = 16.1, \sigma^2 = 2.4^2).$ Standardize to compute $P(X > 17.8)$

Published on 27 Jun 2018 - 21:35

score 92 · Answer 2 · 2026-03-27 12:28:57

92

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Is there any shortcut for finding $E(X_1\mid \sum_{i=1}^nX_i^2)$ where $X_1,\cdots,X_n$ are i.i.d $\mathcal N(\theta,\theta)$ variables?

Published on 27 Mar 2026 - 12:28

score 1.1k · Answer 3 · 2018-06-28 23:36:57

1.1k

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Finding the joint distribution of two random variables (Normal distribution)

Published on 28 Jun 2018 - 23:36

score 129 · Answer 4 · 2026-03-24 23:41:54

129

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Hard to understand hypothesis test problem.

Published on 24 Mar 2026 - 23:41

score 31 · Answer 5 · 2018-06-30 08:18:25

31

Views

Normal Distribution question. Finding mean

Published on 30 Jun 2018 - 8:18

score 503 · Answer 6 · 2026-03-27 01:46:36

503

Views

Expectation of supremum of normal distributed random variables

Published on 27 Mar 2026 - 1:46

score 147 · Answer 7 · 2026-03-25 06:06:20

147

Views

For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

Published on 25 Mar 2026 - 6:06

score 62 · Answer 8 · 2026-03-25 12:48:33

62

Views

CLT with random (Binomial) number of summands

Published on 25 Mar 2026 - 12:48

score 155 · Answer 9 · 2018-07-02 09:15:18

155

Views

If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

Published on 02 Jul 2018 - 9:15

score 602 · Answer 10 · 2026-03-26 01:00:31

602

Views

How can I derive a non-central chi-square distributed random variable from non-standard normal random variables?

Published on 26 Mar 2026 - 1:00

score 50 · Answer 11 · 2018-07-03 06:24:21

50

Views

How to demonstrate that integral of N $\int$ N is equal to integral of N($\sigma$) incremented?

Published on 03 Jul 2018 - 6:24

score 96 · Answer 12 · 2018-07-03 19:55:26

96

Views

Does the series $\sum\limits_{n\geq3}P\{\xi_n>\sqrt{2\ln n+2\ln\ln n}\}$ converges?

Published on 03 Jul 2018 - 19:55

score 196 · Answer 13 · 2018-07-03 20:32:13

196

Views

When does $X_k\to\ N(\mu_1,\sigma^{2}_1)$ and $Y_k\to\ N(\mu_2,\sigma^{2}_2)$ imply $X_k+Y_k$ also converges to Normal Distribution?

Published on 03 Jul 2018 - 20:32

score 1.1k · Answer 14 · 2026-03-25 13:55:32

1.1k

Views

What is the probability that the mean of N samples is lower than a limit when sample is normal distributed?

Published on 25 Mar 2026 - 13:55

score 163 · Answer 15 · 2018-07-05 18:25:52

163

Views

Convergence sum of normal distributed random variables

Published on 05 Jul 2018 - 18:25

List Question

Let $X \sim N(\mu = 16.1, \sigma^2 = 2.4^2).$ Standardize to compute $P(X > 17.8)$

Is there any shortcut for finding $E(X_1\mid \sum_{i=1}^nX_i^2)$ where $X_1,\cdots,X_n$ are i.i.d $\mathcal N(\theta,\theta)$ variables?

Finding the joint distribution of two random variables (Normal distribution)

Hard to understand hypothesis test problem.

Normal Distribution question. Finding mean

Expectation of supremum of normal distributed random variables

For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

CLT with random (Binomial) number of summands

If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

How can I derive a non-central chi-square distributed random variable from non-standard normal random variables?

How to demonstrate that integral of N $\int$ N is equal to integral of N($\sigma$) incremented?

Does the series $\sum\limits_{n\geq3}P\{\xi_n>\sqrt{2\ln n+2\ln\ln n}\}$ converges?

When does $X_k\to\ N(\mu_1,\sigma^{2}_1)$ and $Y_k\to\ N(\mu_2,\sigma^{2}_2)$ imply $X_k+Y_k$ also converges to Normal Distribution?

What is the probability that the mean of N samples is lower than a limit when sample is normal distributed?

Convergence sum of normal distributed random variables

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