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)

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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 1 (77.13 KiB) Viewed 141 times

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 2 (67.46 KiB) Viewed 141 times

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 3 (116.88 KiB) Viewed 141 times

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) = 90x® 0<x< 1 .- x) otherwise (a) Graph the pdf. f(x) f(x) 4 41 3 31 2 2 1 1 o 0.2 0.4 0.6 0.8 X 1.0 0.2 0.4 0.6 0.8 х 1.0 f(x) f(x) 41 41 3 3: 2 2 1 1 0.2 0.6 0.4 0.6 X 1.0 0.8 0.2 X 1.0 0.4 0.6 0 0.8

Obtain the cdf of X. 0 x < 0 F(x) = -9410 +1019 OsXs1 X 1 X > 1 Graph the cdf of X. F(x) F(x) 1.00 1.01 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 x 1.0 0.8 0.2 0.4 0.6 0.8 X X 1.0 F(x) F(X) 1.01 1.07 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 LUX 0.2 0.6 x 1.0 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 0.8

(b) What is P(X = 0.65) [i.e., F(0.65)]? (Round your answer to four decimal places.) 0.0860 (C) Using the cdf from (a), what is P(0.25 < X < 0.65)? (Round your answer to four decimal places.) 0.2071 X What is P(0.25 < X < 0.65)? (Round your answer to four decimal places.) 0.2071 x (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(X) and Oy. (Round your answers to four decimal places.) E(X) = 0.8181 X Oxi = 0.1113 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) Need Help? Read It