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15
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Understanding the "Just one more" paradox on a logarithmic scale

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#logarithms #expected-value #economics #paradoxes #utility
76
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Showing that $\mathbb{E}[Xg(Y) \mid Y] = g(Y) \mathbb{E}[X\mid Y]$

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#probability #probability-theory #expected-value #conditional-expectation
50
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Proof that $E[\langle X_1, X_2 \rangle_{L^2}] = 0$

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#probability-theory #statistics #expected-value
87
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Expected depth of a node in an arbitrary tree.

Published on
#probability #combinatorics #graph-theory #expected-value #trees
157
Views

Expected payoff in a dice game

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#probability #expected-value #dice #expectation-maximization
67
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Understand a Principle of Independence from Probability Space

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#real-analysis #probability #proof-explanation #expected-value #independence
46
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Symmetry in Probability: Dropping pins on a line segment; calculate average length of interval

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#probability #expected-value #recreational-mathematics
95
Views

Calculate the expectation of a random variable

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#probability-theory #random-variables #expected-value #independence
71
Views

Find $E(X), \operatorname{Var}(X)$

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#probability #statistics #expected-value #variance
31
Views

What is the expected value for two complex numbers with known modulus and uniformly distributed phase?

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#complex-numbers #expected-value #absolute-value
60
Views

Notation in the Law of the Unconscious Statistician

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#probability #measure-theory #statistics #expected-value #density-function
69
Views

What is $\max_{n} \frac{1}{d^n} \sum_{r=1}^d \sum_{m=r}^d (-1)^{m+r}rm {d \choose m}{m \choose r} (r-1)^{n-1}$

Published on
#probability #binomial-coefficients #expected-value #dice
31
Views

Proof of uniform convergence (specific case)

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#solution-verification #expected-value #uniform-convergence #self-learning #riemann-integration
32
Views

Expectation of muliplication E(xf(x)) vs E(x)E(f(x)

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#probability-theory #expected-value #covariance
118
Views

Why can indicator variables be used this way?

Published on
#probability #expected-value

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