Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. S72x²(1 – x) f(x) = 0 < x < 1 otherwise (a) Graph the pdf. f(x) f(x) 4 4 3 3 2 0.2 0.4 0.6 0.8 1.0 0,2 0.4 0.6 0.8 1.0 f(x) f(x) 4 4 3 2 2 X 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 Obtain the cdf of X. X < 0 F(x) = OSX<1 x > 1

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