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The mean of probability distribution with pdf given by $x^{-2}$ for $x>1$

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#probability-distributions #expected-value
258
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Bounding expected value and variance

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#random-variables #expected-value #variance
27
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Why $\Bbb E_x [x_i^2] = 1/d$ when $x \sim Unif(\Bbb S^{d-1})$?

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#probability #expected-value #uniform-distribution #symmetry
2.1k
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On the probability and expectation of rolling 3 dice and get 4, 5, 6

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#probability #expected-value #dice
128
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Binomial Random Variable Task

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#probability #expected-value #machine-learning
244
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What is $E[x\mid x^2=k^2]$ when $x$ has a discrete uniform distribution?

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#probability #probability-distributions #expected-value #conditional-expectation #uniform-distribution
76
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Suppose $P(X > x) \le 100 (e^{-ax}+e^{-bx})$. Is there a clever way to bound $\mathbb E[X]$?

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#probability #integration #expected-value #estimation
25
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Expected number of succesfull outcomes

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#probability #expected-value
58
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Expectation of Reciprocal of Average of Variables.

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#limits #probability-theory #expected-value #law-of-large-numbers
59
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What is the upper bound for this formula

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#probability #inequality #expected-value
37
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Expectation of the reciprocal of a positive discrete random variable

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#probability #probability-distributions #summation #expected-value #conditional-expectation
24
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Var$(T)$ by definition of $T$ random variable as a quotient.

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#probability #probability-distributions #expected-value
22
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Extract a matrix of the expected value.

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#linear-algebra #matrices #expected-value
69
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Finding the mean and variance of a discrete variable.

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#probability #expected-value #variance
76
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Find $E(X_1^2X_2^2)$

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#probability #normal-distribution #expected-value

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