Question

Let X be normally distributed with mean $0$ and variance $1$, find the CDF and density of $Y = \Phi(X)$

score 1k · Answer 1 · 2014-11-16 17:22:04

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Let X be normally distributed with mean $0$ and variance $1$, find the CDF and density of $Y = \Phi(X)$

Published on 16 Nov 2014 - 17:22

score 73 · Answer 2 · 2014-11-16 18:36:04

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You purchased stock for \$1m. What is the probability that it is worth more than $30m after 10 years?

Published on 16 Nov 2014 - 18:36

score 56 · Answer 3 · 2026-03-25 17:40:23

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How can I find the percentile function of a distribution that isn't normal?

Published on 25 Mar 2026 - 17:40

score 879 · Answer 4 · 2014-11-17 02:31:48

879

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Box-Muller Transformation

Published on 17 Nov 2014 - 2:31

score 88 · Answer 5 · 2014-11-17 10:00:34

88

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Applying a Normal Distribution to Another Function to Find Probability

Published on 17 Nov 2014 - 10:00

score 1.5k · Answer 6 · 2014-11-18 04:40:39

1.5k

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Find the cutoff level for the highest 15% in normal distribution, given the mean and standard deviation

Published on 18 Nov 2014 - 4:40

score 1k · Answer 7 · 2014-11-18 14:50:14

Studies shown that gasoline use for compact cars sold in the U.S. is normally distributed, with a mean of 25.5 mpg and standard deviation of 4.5 mpg.

score 1.3k · Answer 8 · 2014-11-18 15:35:28

1.3k

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When to expect normal distribution?

Published on 18 Nov 2014 - 15:35

score 86 · Answer 9 · 2014-11-18 15:48:52

86

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How to calculate this kind of probability for a normal distribution?

Published on 18 Nov 2014 - 15:48

score 117 · Answer 10 · 2026-04-02 03:15:07

117

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What is $E[\cos X]$ where $X$ is lognormal?

Published on 02 Apr 2026 - 3:15

score 215 · Answer 11 · 2014-11-19 14:10:29

215

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normal distribution question with percentages

Published on 19 Nov 2014 - 14:10

score 665 · Answer 12 · 2014-11-19 14:44:07

665

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Normal pdf/cdf inequality

Published on 19 Nov 2014 - 14:44

score 114 · Answer 13 · 2026-03-27 21:53:23

114

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relationship between two normally distributed variables

Published on 27 Mar 2026 - 21:53

score 43 · Answer 14 · 2026-03-27 14:46:51

43

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How to check $H_0$ hypothesis using Pearson's criteria?

Published on 27 Mar 2026 - 14:46

score 972 · Answer 15 · 2014-11-23 07:09:31

972

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If the sum of two i.i.d. random variables is normal, must the variables themselves be normal?

Published on 23 Nov 2014 - 7:09

List Question

Let X be normally distributed with mean $0$ and variance $1$, find the CDF and density of $Y = \Phi(X)$

You purchased stock for \$1m. What is the probability that it is worth more than $30m after 10 years?

How can I find the percentile function of a distribution that isn't normal?

Box-Muller Transformation

Applying a Normal Distribution to Another Function to Find Probability

Find the cutoff level for the highest 15% in normal distribution, given the mean and standard deviation

Studies shown that gasoline use for compact cars sold in the U.S. is normally distributed, with a mean of 25.5 mpg and standard deviation of 4.5 mpg.

When to expect normal distribution?

How to calculate this kind of probability for a normal distribution?

What is $E[\cos X]$ where $X$ is lognormal?

normal distribution question with percentages

Normal pdf/cdf inequality

relationship between two normally distributed variables

How to check $H_0$ hypothesis using Pearson's criteria?

If the sum of two i.i.d. random variables is normal, must the variables themselves be normal?

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