List questions from probability-distributions

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Finding a pdf from a CDF with a Discrete Random Variable

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Probability of Random Variable Minus Random Variable

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Let $f(x,y)=cx(1-y), 0<x<2y<1$, and $0$ otherwise. Find $c$. Are $x$ and $y$ independent?

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Averaging inverse CDFs

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Probability density function that evolves with time according to a delay differential

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Actuary P/1 Exam Question

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Poisson distribution given Exponential Distribution

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Poisson approximation of $X$ by $Poisson(E[X])$

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Finding the boundaries of integration when calculating P(X + Y > a) or P(X + Y < b) (Jointly Distributed Continuous Random Variables)

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Singular vector of random Gaussian matrix

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Does $E[X]\gg E[Y]$ for independent RV imply that $Pr[X+Y \geq x] \sim Pr[ X \geq x]$?

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Show that $Pr[X \gg Y]\approx 1$

Published on 15 Apr 2026 - 17:02

List Question

Geometric Distribution - How to show that a certain event is unplausible?

Finding a pdf from a CDF with a Discrete Random Variable

Probability of Random Variable Minus Random Variable

Let $f(x,y)=cx(1-y), 0<x<2y<1$, and $0$ otherwise. Find $c$. Are $x$ and $y$ independent?

Averaging inverse CDFs

Probability density function that evolves with time according to a delay differential

Partial sum of binomial

Differential Equation Involving a Bivariate PDF and its Marginal CDF

Actuary P/1 Exam Question

Poisson distribution given Exponential Distribution

Poisson approximation of $X$ by $Poisson(E[X])$

Finding the boundaries of integration when calculating P(X + Y > a) or P(X + Y < b) (Jointly Distributed Continuous Random Variables)

Singular vector of random Gaussian matrix

Does $E[X]\gg E[Y]$ for independent RV imply that $Pr[X+Y \geq x] \sim Pr[ X \geq x]$?

Show that $Pr[X \gg Y]\approx 1$

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