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How awful is the awful magician?

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Independent variables' probability functions and expectations

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We have two coins, A and B. For each toss of coin A, the probability of getting head is 1/2...

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There are $10$ empty boxes numbered $1, 2, \dots , 10$ placed sequentially on the circumference of a circle.We perform $100$ independent trials.

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Prove the Poisson Distribution Theorems

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Expected maximum pairwise distance for $n$ points on a circle?

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Expected value of product of independent random variables with same expected value and variance

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Mean distance between 2 points in adjacent voxels (cubes)

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You roll a die until you get a $5$, what is the expected value of the minimum value rolled?

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Unbiased estimator for $\theta$

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Generating a Monte Carlo estimate of a function of a normal distribution

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Finite expectation of a process implies finite process

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expectation of function of geometric random variable

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If $m$ tickets are drawn out of $n$ tickets numbered $1$ to $n$, find variance of the sum of the numbers on tickets

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$\mathbb{E}[X^2]= 2 \int _0 ^{\infty} x P(X>x) dx$

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