(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a) Let X_{1}, X_{2}, ...X_{N}be a collection of independent Bernoulli random variables. What is the distribution of Y = [itex]\sum[/itex]^{N}_{i = 1}X_{i}

b) Show E(Y) = np

2. Relevant equations

Bernoulli equations f(x) = p^{x}(1-p)^{1-x}

3. The attempt at a solution

a)X_{1}+ X_{2}+ .... + X_{N}= p

b) Not sure. I'm assuming the expectation would mean when each probability is multiplied by "x", the x's go from 0 to n, meaning they represent the n.

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# Distribution of Bernoulli random variable

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