Question

Is $E\left[\frac{1}{\sum_{i=1}^{n}X_i}\right]$ = $\frac{1}{\sum_{i=1}^{n} E\left[X_i \right]}$?

score 1.2k · Answer 1 · 2016-03-03 11:39:40

1.2k

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Is $E\left[\frac{1}{\sum_{i=1}^{n}X_i}\right]$ = $\frac{1}{\sum_{i=1}^{n} E\left[X_i \right]}$?

Published on 03 Mar 2016 - 11:39

score 143 · Answer 2 · 2016-03-04 08:37:10

143

Views

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score 27 · Answer 3 · 2026-03-29 16:00:50

27

Views

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score 91 · Answer 4 · 2016-03-04 19:45:24

91

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score 83 · Answer 5 · 2026-03-29 17:25:53

83

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score 77 · Answer 6 · 2026-04-01 04:21:55

77

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score 421 · Answer 7 · 2026-03-30 05:13:48

421

Views

If a stopping time, $T$, satisfies $P(T>k\alpha)\leq (1-\epsilon)^k$ then $E(T)<\infty$

Published on 30 Mar 2026 - 5:13

score 159 · Answer 8 · 2026-03-30 08:41:20

159

Views

Characteristic functions, show that $\mathrm{E}[X_1 + X_2 +...+X_n]^3 = \mathrm{E}[X_1^3] +...+\mathrm{E}[X_n^3]$ when $\mathrm{E}[X] = 0$

Published on 30 Mar 2026 - 8:41

score 2.6k · Answer 9 · 2026-04-01 15:12:19

2.6k

Views

How to show that $E[E[X\mid Y]\mid Y] = E[X\mid Y]$

Published on 01 Apr 2026 - 15:12

score 475 · Answer 10 · 2026-04-02 23:46:22

475

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score 171 · Answer 11 · 2026-04-02 13:07:52

171

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score 108 · Answer 12 · 2016-03-08 00:53:48

108

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score 70 · Answer 13 · 2016-03-08 11:03:11

70

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score 56 · Answer 14 · 2026-03-29 12:41:05

56

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score 44 · Answer 15 · 2016-03-09 18:31:17

44

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List Question

Is $E\left[\frac{1}{\sum_{i=1}^{n}X_i}\right]$ = $\frac{1}{\sum_{i=1}^{n} E\left[X_i \right]}$?

Density function and expected value

Let $N_t$ be a $PP(3)$. Let $T_n$ be the time of the nth arrival. Find $E(N_5|N_2 = 5)$

Making a negative expected value move as part of a positive expected value strategy?

An Enquiry Concerning the Mean of a Truncated Exponential Distribution

Expectation of Complex Operators

If a stopping time, $T$, satisfies $P(T>k\alpha)\leq (1-\epsilon)^k$ then $E(T)<\infty$

Characteristic functions, show that $\mathrm{E}[X_1 + X_2 +...+X_n]^3 = \mathrm{E}[X_1^3] +...+\mathrm{E}[X_n^3]$ when $\mathrm{E}[X] = 0$

How to show that $E[E[X\mid Y]\mid Y] = E[X\mid Y]$

Poisson distribution arrival problem. With conditional uniform distribution

Calculating Expectation and Variance

Robot painting a circular track

How do I compute the following integral?

$2$ stations and $1$ job, different exponential rates, find total service time

Fair coin toss - $E[X\mid\mathcal{G}]$

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