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.