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Find distribution of Random Variable $X_N$ where $N$ is independent random variable, $\sum\limits_{j=1}^n P(N=j)=1$ & each $X_i~exp(\lambda_i)$

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#probability #random-variables #independence #cumulative-distribution-functions
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Expected value of normal CDF

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#probability #probability-distributions #normal-distribution #expected-value #cumulative-distribution-functions
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How to find the density function of $|X|^{\frac{1}{2}}$ where $X$ follows a standard normal distribution?

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#probability #probability-distributions #normal-distribution #density-function #cumulative-distribution-functions
78
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What is the relationship between two formulas for expected value in terms of CDF?

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#probability #limits #expected-value #cumulative-distribution-functions
67
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Inverse distribution function and random walk

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#probability-distributions #random-walk #cumulative-distribution-functions
31
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Finding expectation of continuous random variable

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#probability #integration #cumulative-distribution-functions
425
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Inverse of cumulative distribution function

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#probability-distributions #random-variables #cumulative-distribution-functions
861
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Bayes' theorem and law of total probability with CDFs

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#probability #conditional-probability #gamma-distribution #cumulative-distribution-functions
58
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CDF in Probability

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#probability #cumulative-distribution-functions
88
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How to test if numerical function describes a valid probability distribution?

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#probability #probability-distributions #numerical-methods #confidence-interval #cumulative-distribution-functions
55
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Find the CDF of $Y=X+|X-a|$ where $X\sim\text{unif}[0,b], b>a>0$

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#probability #probability-distributions #uniform-distribution #cumulative-distribution-functions
539
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Moments Dominance and First Order Stochastic Dominance

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#inequality #probability-distributions #proof-writing #expected-value #cumulative-distribution-functions
73
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Different definitions of independent random variables

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#probability-theory #random-variables #borel-sets #cumulative-distribution-functions
115
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Geometric distribution where failure probability is not 1-p

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#probability #probability-distributions #cumulative-distribution-functions
67
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Is there a discontinuous random vector with continuous components?

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#probability-theory #random-variables #cumulative-distribution-functions

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