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Check my reasoning on two "expected value" problems?

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#probability #solution-verification #expected-value
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Show that $E(X)=\sum_{n\in\mathbb{N}}P(X\ge n)$

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#probability-theory #expected-value
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Expectation of non-negative random variable

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#probability #integration #proof-verification #expected-value
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Expected number of matches when two shuffled rows of $52$ playing cards are lined up

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#probability #combinatorics #expected-value
69
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If E[Y | X = x]=x how do I show that Y=X?

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#probability #conditional-expectation #expected-value
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Expected number of coin flips to see $3$ heads

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#probability #probability-theory #expected-value
409
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Expected value of function of Markov chain

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#probability #matrices #stochastic-processes #markov-chains #expected-value
432
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Expected value of throwing a coloured die - problem from Grimmett's "Probability" book

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#probability #random-variables #expected-value #dice
476
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Is the sample quantile unbiased for the true quantile?

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#probability #statistics #probability-distributions #statistical-inference #expected-value
40
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exchange between a random variable and a lower bound (which is such on a set of probabilty tending to 1) inside the expected value

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#probability #probability-theory #convergence-divergence #expected-value #upper-lower-bounds
245
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Expected coordinates of a uniform point chosen out of a triangle with vertices $(x1,y1), (x2,y2), (x3,y3)$

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#probability #expected-value
82
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Symmetry of i.i.d. continuous r.v.s problem, part 2

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#probability #expected-value
39
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The coordinate of the centroid of a polytope in n-dimension

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#probability #geometry #expected-value
29
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From expectation to probability in the solution of a problem

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#probability #random-variables #expected-value
74
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Statistical error in the approximation-estimation tradeoff

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#linear-algebra #statistics #expected-value #transpose

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