Let $Y = a_1X_1 + a_2X_2 + a_3X_3 +....a_nX_n$, where $a_i $ are just constants and $X_i$ are independent Bernoulli random variables with probability of 0.5. Then what would be the distribution of Y? Thanks!
2026-04-13 21:44:16.1776116656
Sum of many Bernoulli random variable with different amplitude but same success probability
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