Question: W is a Bernoulli random variable such that P[ W = 1] = , P[ W = 0] = , where and are constants with

W is a Bernoulli random variable such that

P[W = 1] = , P[W = 0] = , where andare constants with< 0.5

W1, W2, and W3are independently and identically distributed random variables, each with the same distribution as W. We define V where

V = 2 W1 + 2 W2 + 2 W3

If var(W) = 4/25 (= 0.16), calculate P[V 4]. Give your answer to 3decimal places.

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