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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. 56x6(1 - xObtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x) 1.0 1.0(c) Using the cdf from (a), what is P(0.4 < X 0.65)? (Round your answer to four decimal places.) What is P(0.4 < X 0.65)? (Ro

Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. 56x6(1 - x) 0 x 1 f(x) = otherwise
Obtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1
Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0.6 0.4 0.2 (b) What is P(X s 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.)
(c) Using the cdf from (a), what is P(0.4
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