Let P 1 P 400 Be A Sample Computed By P X Y 2 Z 3 W 4 Where X 1 X 2 X 400 Y 1 Y

P = X + Y^2 + Z^3 + W^4, where

X_1, X_2, .., X_400Y_1, Y_2, .., Y_400Z_1, Z_2, .., Z_400W_1, W_2, .., W_400

are samples from Uniform(0,1) distribution. Find 90% confidence interval for the variance of P. Note: Use at least fifty thousand simulated samples to generate sampling distr. for the variance of P.

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