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Calculating the expected value of the maximum of some RVs

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791
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Finding the expectation of a random variable on $S_n$

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112
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An example satisfying $P(X > Y) > \frac 12$, but $E_X < E_Y$

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413
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Calculate $\mathbb{E}\exp \left( B_t- \int_0^t B_s \, ds \right)$ for Brownian motion $(B_t)_{t \geq 0}$

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#probability-theory #normal-distribution #brownian-motion #expected-value
155
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Suppose there are 1000 elements, we randomly pick two sets of 50 elements. What's the expectation of number of elements in intersection

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427
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Expectation of sum with the signum function

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28
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Comparing $ E(Y|X) $, $ E(Y|p(X)) $, $ E(Y|X, p(X)) $

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#random-variables #conditional-expectation #conditional-probability #expected-value
64
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R types of ants live in a place. Find the expected values.

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248
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Alternative formula for covariance

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55
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Evaluate product of normal CDF and PDF

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64
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Find the probability that a random variable is "good" and find the expected value of the number of "good" random variables.

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76
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Does $X_n \to X$ in probability imply $\mathbb{E}(\liminf_n X_n) = \mathbb{E}(X)$?

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#probability-theory #measure-theory #convergence-divergence #examples-counterexamples #expected-value
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Should one pay buy a warrenty? (What is the conclusion?)

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#expected-value
23
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Finding the density of $X$

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175
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Rearranging Poisson distribution variables: lambda and exponents

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#exponentiation #poisson-distribution #expected-value

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