List questions from conditional-probability

Published on 16 Apr 2026 - 0:44

205

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How can I show that $\Bbb{E}(f(X)g(Y)|X)=f(X)\Bbb{E}(g(Y))$?

Published on 14 May 2026 - 19:34

37

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show that $\mathbb{P}_\mu\left(X_{n+m}=y \mid X_m=x\right)=\mathbb{P}_x\left(X_n=y\right)=P^n(x, y)$

Published on 16 Apr 2026 - 23:30

26

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Can we take out this term out of the integrand?

Published on 10 Apr 2026 - 23:27

242

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Conditional Probability in Bayesian Network

Published on 10 Apr 2026 - 17:19

39

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How do I distinguish that this question requires me to use total probability or the approach to take?

Published on 13 Apr 2026 - 0:54

142

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Probability that first coin flip was heads given that 7 of 10 flips were heads?

Published on 15 Apr 2026 - 20:09

1k

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Prove conditional expectation as minimization of squared error

Published on 14 Apr 2026 - 13:35

72

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Proving equality of probability between indicator function and its conditional expectation

Published on 13 Apr 2026 - 17:03

172

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I have an issue in understanding this question.

Published on 12 Apr 2026 - 13:10

98

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Computing conditional expectation

Published on 13 Apr 2026 - 5:26

37

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Probability for Player P3 winning

Published on 13 Apr 2026 - 3:06

205

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Property of conditional expectation $E(X | \mathcal{V})$ where $\mathcal{V}$ is $\sigma$-algebra.

Published on 13 Apr 2026 - 8:09

139

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find the probability that a person had a car accident

Published on 15 Apr 2026 - 20:23

72

Views

Interpretation of the conditional probability as a random variable (general case)

Published on 04 May 2026 - 12:22

List Question

Finite state Markov chain must come back to absorption states

How can I show that $\Bbb{E}(f(X)g(Y)|X)=f(X)\Bbb{E}(g(Y))$?

show that $\mathbb{P}_\mu\left(X_{n+m}=y \mid X_m=x\right)=\mathbb{P}_x\left(X_n=y\right)=P^n(x, y)$

Can we take out this term out of the integrand?

Conditional Probability in Bayesian Network

How do I distinguish that this question requires me to use total probability or the approach to take?

Probability that first coin flip was heads given that 7 of 10 flips were heads?

Prove conditional expectation as minimization of squared error

Proving equality of probability between indicator function and its conditional expectation

I have an issue in understanding this question.

Computing conditional expectation

Probability for Player P3 winning

Property of conditional expectation $E(X | \mathcal{V})$ where $\mathcal{V}$ is $\sigma$-algebra.

find the probability that a person had a car accident

Interpretation of the conditional probability as a random variable (general case)

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