List questions from expected-value

Published on 16 Apr 2026 - 22:25

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Expected number of cards in the stack?

Published on 16 Apr 2026 - 16:19

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Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$

Published on 14 Apr 2026 - 20:55

233

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Proof: $X\ge 0, r>0\Rightarrow E(X^r)=r\int_0^{\infty}x^{r-1}P(X>x)dx$

Published on 16 Apr 2026 - 14:04

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Double exponential function Expected value

Published on 10 Apr 2026 - 8:03

31k

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Find the expected value of $\frac{1}{X+1}$ where $X$ is binomial

Published on 13 Apr 2026 - 16:58

1.5k

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A few questions about Markov chains

Published on 10 Apr 2026 - 14:30

972

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Expected value with a die with 9 faces

Published on 11 Apr 2026 - 23:12

155

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Expectation of the black ball pairs

Published on 16 Apr 2026 - 2:22

172

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Expectation property for Poisson distribution

Published on 11 Apr 2026 - 22:30

1.2k

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Betting Question - Expected Value, Probability

Published on 11 Apr 2026 - 1:28

55

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Finding expectation of a random variable

Published on 08 Apr 2026 - 20:06

49

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Prove that $E(Y_i \bar{Y}) = \frac{\sigma^2}{n}+\mu^2$

Published on 14 Apr 2026 - 18:10

129

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Martingale property for symmetric random work

Published on 15 Apr 2026 - 5:48

172

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Expected number of coin flip

Published on 15 Apr 2026 - 10:00

List Question

100 prisoners and a lightbulb

Expected number of cards in the stack?

Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$

Proof: $X\ge 0, r>0\Rightarrow E(X^r)=r\int_0^{\infty}x^{r-1}P(X>x)dx$

Double exponential function Expected value

Find the expected value of $\frac{1}{X+1}$ where $X$ is binomial

A few questions about Markov chains

Expected value with a die with 9 faces

Expectation of the black ball pairs

Expectation property for Poisson distribution

Betting Question - Expected Value, Probability

Finding expectation of a random variable

Prove that $E(Y_i \bar{Y}) = \frac{\sigma^2}{n}+\mu^2$

Martingale property for symmetric random work

Expected number of coin flip

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