Let X and Y be Bernoulli random variables PX 1 14 PY 1X

Let X and Y be Bernoulli random variables, P(X = 1) = 1/4, P(Y = 1|X = 0) = 1/3, and P(Y = 1|X = 1) = 1/5. Define a random variable W as W = X + Y .

Find E(W) using BOTH method A and method B.

method A E(W) = E(X + Y ) = E(X) + E(Y )

method B E(W) = (0)P(W = 0) + (1)P(W = 1) + (2)P(W = 2)

Solution

i am unable to upload image of answer so i am sending u the link of answer...please go through it

https://drive.google.com/file/d/0B6-y3LStajLMa1dlMnM3U01IMUsxN25pLXo1OTAxYUVobDNv/view?usp=sharing