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Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. f (

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Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. f ( x ) = $ 72x ( 1 - x) 01Graph the cdf of X. P(X) P(X) I I l I I I l I I I l I I I l I I I L x I I I l I I I l I I I I I I I l I I I L x 02 04 06 0.8 1.0 02 04 06 08 10 F(X) P(X) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 x X . 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 0.8 1.0 W (b) What is P(X s 0.65) [i.e., F(O.65)]? (Round your answer to four decimal places.) 0.121085 y (c) Using the cdf from (a), what is P(0.3S

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