List questions from probability-distributions

Published on 12 Apr 2026 - 11:48

106

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Evaluate this complex integral

Published on 16 Apr 2026 - 14:13

360

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Formula for CDF of investment returns

Published on 10 Apr 2026 - 1:45

46

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Unfair coin question

Published on 13 Apr 2026 - 13:19

53

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Proof of existence of probability distribution: Why $P((-\infty,a])=P^{*}(X^{-1}((-\infty,a]))$?

Published on 15 Apr 2026 - 5:16

1.4k

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Finding an unbiased estimator of $(1+\lambda)e^{-\lambda}$ for Poisson distribution

Published on 10 Apr 2026 - 12:35

176

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Expectation of $1/||X||^2$ under $X \sim N(\theta, I)$ goes to 0 as $||\theta||$ goes to infinity

Published on 14 Apr 2026 - 22:24

89

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What curve represents random sampling sorted by frequency?

Published on 13 Apr 2026 - 1:18

134

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Compute $\operatorname{cov}\left(\sum_{i=1}^{N}X_i,\sum_{i=1}^{N}Y_i\right)$

Published on 16 Apr 2026 - 15:14

41

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$C$ is Geometrically distributed and $N$ is Poisson distributed. What is the sum of N $C$ events?

Published on 16 Apr 2026 - 14:34

52

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Density of a continuous distribution

Published on 10 Apr 2026 - 3:07

33

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Find the cdf of the extreme-valued pdf $f(x)=e^{(x-e^x)}$

Published on 16 Apr 2026 - 4:35

320

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Compute expected value of the event

Published on 17 Apr 2026 - 14:27

156

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Probability distribution question including mean and variance

Published on 13 Apr 2026 - 5:59

59

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matching a pdf with the formula for normal distribution

Published on 13 Apr 2026 - 22:45

List Question

What is $ P(X=x|Z=z)$?

Evaluate this complex integral

Formula for CDF of investment returns

Unfair coin question

Proof of existence of probability distribution: Why $P((-\infty,a])=P^{*}(X^{-1}((-\infty,a]))$?

Finding an unbiased estimator of $(1+\lambda)e^{-\lambda}$ for Poisson distribution

Expectation of $1/||X||^2$ under $X \sim N(\theta, I)$ goes to 0 as $||\theta||$ goes to infinity

What curve represents random sampling sorted by frequency?

Compute $\operatorname{cov}\left(\sum_{i=1}^{N}X_i,\sum_{i=1}^{N}Y_i\right)$

$C$ is Geometrically distributed and $N$ is Poisson distributed. What is the sum of N $C$ events?

Density of a continuous distribution

Find the cdf of the extreme-valued pdf $f(x)=e^{(x-e^x)}$

Compute expected value of the event

Probability distribution question including mean and variance

matching a pdf with the formula for normal distribution

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