New posts in Probability Distributions

Why is this method incorrect?

If $Y\sim\operatorname{Beta}(a,1-a)$ and $Z\sim\operatorname{Exp}(1)$, then $YZ\sim\operatorname{Gamma}(0,1)$?

What is the purpose of $\frac{1}{\sigma \sqrt{2 \pi}}$ in $\frac{1}{\sigma \sqrt{2 \pi}}e^{\frac{(-(x - \mu ))^2}{2\sigma ^2}}$?

Is there a name for this formula/distribution: $f(i) = ( a / i^k ) b^i$?

Compute the moment generating function of $Y = X_1X_2 + X_1X_3 + X_2X_3$

What is the probability of getting equal numbers of heads and tails?

PMF of throwing a die 4 times

Distribution at First Time a Sum Reaches a Threshold

Thorem stating how much of a population is within $n$ standard deviations from the mean

What is the expected number of infected people?