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Average of maximum among order statistic

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Expected value of repeated bets

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A problem about expected value

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Expected value of the sum of $n$ dice rolls.

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Find the E(X) where X be the number of different numbers drawn during the first four week.

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Expectation of random variable with omitted variable bias

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Using the law of iterated expectations with multiple variables

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#probability #conditional-expectation #expected-value
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Proving $\mathbb { E } \left[ ( f ( x ) - \mathbb { E } [ f ( x ) ] ) ^ { 2 } \right] = \mathbb { E } \left[f(x)^{2}\right]-\mathbb{E}[f(x)]^{2}$

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153
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Regression model + expected value, variance and autocorrelation of the error term

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#self-learning #regression #variance #expected-value #linear-regression
127
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Probability of drawing an ace after 13 draws with Monte carlo simulation

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#probability #conditional-probability #expected-value
82
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Can we show that $\operatorname E[(X-\operatorname E[X])^k]\le\operatorname E[X^k]$ if $X\ge 0$?

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65
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A statistical robust least-squares problem

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#probability #convex-optimization #least-squares #expected-value #random-matrices
136
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LOTUS to determine $E[e^X]$

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#normal-distribution #expected-value
53
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Expectation of special homography for poisson distribution

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#probability #sequences-and-series #poisson-distribution #expected-value
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How can a derivative appear in a summation?

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