List questions from conditional-probability

Published on 16 Apr 2026 - 17:00

30

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Conditional independence of events

Published on 10 Apr 2026 - 3:58

62

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Constructing a random variable $Y$ whose values are $\pm 1$ with conditional expectation $\mathbb E[Y|X] = X$

Published on 15 Apr 2026 - 12:54

236

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$2$-girl problem with bias of $P(G) = 0.75$ and $P(B) = 0.25$

Published on 17 Apr 2026 - 3:27

835

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Variance of Conditional Variance

Published on 16 Apr 2026 - 11:06

55

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Probability that there exists a time frame with exactly $k$ events during a Poisson process

Published on 14 Apr 2026 - 1:13

88

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Why are the random variables X and Y independent in this case?

Published on 14 Apr 2026 - 6:56

64

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Conditional Probability vs Joint Probability

Published on 09 Apr 2026 - 4:28

623

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Probability of top $3$ Horses ranked in a certain order

Published on 15 Apr 2026 - 11:24

43

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Show $T$ is a sufficient statistic using definition of sufficiency

Published on 13 Apr 2026 - 0:54

93

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Is knowing $P(A), P(A,B)$, and $P(A,C)$ sufficient to find $P(A \mid B,C)$?

Published on 15 Apr 2026 - 18:08

83

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What is the probability of being hit given alarm has sounded? Bayesian Signal Detection

Published on 11 Apr 2026 - 4:06

746

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Conditional probability question on defective item problem

Published on 12 Apr 2026 - 21:38

65

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Conditional probability: question on a given solution

Published on 10 Apr 2026 - 15:31

34

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How can one reason this conditional probability?

Published on 09 Apr 2026 - 2:27

List Question

Argument for Mathematically Determined Redistribution of Probability Upon Conditioning

Conditional independence of events

Constructing a random variable $Y$ whose values are $\pm 1$ with conditional expectation $\mathbb E[Y|X] = X$

$2$-girl problem with bias of $P(G) = 0.75$ and $P(B) = 0.25$

Variance of Conditional Variance

Probability that there exists a time frame with exactly $k$ events during a Poisson process

Why are the random variables X and Y independent in this case?

Conditional Probability vs Joint Probability

Probability of top $3$ Horses ranked in a certain order

Show $T$ is a sufficient statistic using definition of sufficiency

Is knowing $P(A), P(A,B)$, and $P(A,C)$ sufficient to find $P(A \mid B,C)$?

What is the probability of being hit given alarm has sounded? Bayesian Signal Detection

Conditional probability question on defective item problem

Conditional probability: question on a given solution

How can one reason this conditional probability?

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