Question: Let T= x1 + x2 + ... + x32 be the sum of a random sample of size 32 from a distribution whose pdf is

Let T= x1 + x2 + ... + x32 be the sum of a random sample of size 32 from a distribution whose pdf is fx(x) = 1-(x/2), 0 < x < 2 and S = Y1 + Y2 + .... + Y40 be the sum of a random sample of size 40 from a distribution whose pdf is fy(y) = (3/y^4), y > 1. Let W = 3T - S. Use the central limit theorem to approximate P(-1 <= W < = 8)

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