Question

Why $E[f(x)]=\int p(x)f(x) dx$ and $E[f(x)]=\int xf(x) dx$ are same where they are expectancy of probability distributions?

score 109 · Answer 1 · 2019-08-17 05:11:21

109

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Why $E[f(x)]=\int p(x)f(x) dx$ and $E[f(x)]=\int xf(x) dx$ are same where they are expectancy of probability distributions?

Published on 17 Aug 2019 - 5:11

score 610 · Answer 2 · 2019-08-17 13:09:27

610

Views

Definiton of expectation of product of random variables

Published on 17 Aug 2019 - 13:09

score 95 · Answer 3 · 2026-03-26 17:29:26

95

Views

Finding $\mathbb{E}(X|X<Y)$ where $X,Y$ are iid $\exp(\lambda)$ random variables

Published on 26 Mar 2026 - 17:29

score 366 · Answer 4 · 2026-03-27 20:21:09

366

Views

Expectation & Variance of $\frac{1}{K+X}$ when $X \sim $ Poisson and $K=2,3,4 \ldots$

Published on 27 Mar 2026 - 20:21

score 310 · Answer 5 · 2026-02-23 08:36:03

310

Views

Coupon Collector Problem Markov Chain Interpretation

Published on 23 Feb 2026 - 8:36

score 174 · Answer 6 · 2026-03-27 11:40:39

174

Views

Expected payoff in a dice rolling game

Published on 27 Mar 2026 - 11:40

score 59 · Answer 7 · 2026-03-26 11:17:42

59

Views

Expectation of the sum of logarithmic Chi-squared variables

Published on 26 Mar 2026 - 11:17

score 40 · Answer 8 · 2026-03-28 10:54:43

40

Views

Requirements for random variables to be distributed identically

Published on 28 Mar 2026 - 10:54

score 111 · Answer 9 · 2026-03-24 22:01:21

111

Views

Expected size of colored block on chessboard?

Published on 24 Mar 2026 - 22:01

score 2.5k · Answer 10 · 2019-08-22 16:26:34

2.5k

Views

Probability Question 3.17 in Wackerly, Mendenhall, and Scheaffer, 5th Ed.

Published on 22 Aug 2019 - 16:26

score 328 · Answer 11 · 2026-03-27 12:28:43

328

Views

Intuition on the Expected Value and Standard Deviation of a binomial

Published on 27 Mar 2026 - 12:28

score 4k · Answer 12 · 2019-08-23 02:49:07

4k

Views

Expected number of draws until first ace

Published on 23 Aug 2019 - 2:49

score 70 · Answer 13 · 2026-03-27 10:10:10

70

Views

What is the expected time to roll all $1$ through $6$ on a six-sided die?

Published on 27 Mar 2026 - 10:10

score 100 · Answer 14 · 2019-08-23 12:36:57

100

Views

If $P(X \geq a) =1$, then $E[X] \geq a$ proof

Published on 23 Aug 2019 - 12:36

score 173 · Answer 15 · 2019-08-23 20:25:16

173

Views

Coin Flipping Puzzle: Choose Between 2 Games

Published on 23 Aug 2019 - 20:25

List Question

Why $E[f(x)]=\int p(x)f(x) dx$ and $E[f(x)]=\int xf(x) dx$ are same where they are expectancy of probability distributions?

Definiton of expectation of product of random variables

Finding $\mathbb{E}(X|X<Y)$ where $X,Y$ are iid $\exp(\lambda)$ random variables

Expectation & Variance of $\frac{1}{K+X}$ when $X \sim $ Poisson and $K=2,3,4 \ldots$

Coupon Collector Problem Markov Chain Interpretation

Expected payoff in a dice rolling game

Expectation of the sum of logarithmic Chi-squared variables

Requirements for random variables to be distributed identically

Expected size of colored block on chessboard?

Probability Question 3.17 in Wackerly, Mendenhall, and Scheaffer, 5th Ed.

Intuition on the Expected Value and Standard Deviation of a binomial

Expected number of draws until first ace

What is the expected time to roll all $1$ through $6$ on a six-sided die?

If $P(X \geq a) =1$, then $E[X] \geq a$ proof

Coin Flipping Puzzle: Choose Between 2 Games

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