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Law of Total Variance and Change of Measure

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variance of sum of non-independent indicator variables

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Expectation and Variance of Y = g(Z)

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Giving weights to an instance according to a normal distribution

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generating sample from binomial distribution and calculate the mean and variance.

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$Var(aX) = a^2Var(X)$ but $Var(X+Y) = Var(X) + Var(Y)$. How does this make any sense?

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Probability/mass function & variance problem with a dice and a coin

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545
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Does correlation tell us anything about standard deviation?

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31
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Probability/Avg value/PMF/Allocation problem: Tossing a coin and rolling two dices

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641
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Poisson and Negative Binomial distributions- Mean and Variance total claim size

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30
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Poisson rv determining sample size of normally distributed rv's

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Variance of $X^2$ if $X \sim \mathcal{N}(0,1)$?

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Intuition behind the critical difference of ANOVA

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