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Let x denote the amount of space ocnupied by an artice placed in a l-ft paciing container. The paf of X is below. x) otherwise (a) Graph the pat. fIx) 0.2 0.4 0.6 1.0 0.2 0.4 0.6 1.0 fix) fix) 4f 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 Obtain the cof of X. Fx) - OSxs1 Graph the caf of X. FIX) FIX) 10 10 0.8 0.6 0.4 04 02 02 02 04 0.6 0.8 1.0 02 04 0.6 0.8 1.0 FIX) 10 10 08 0.0 04 04 02 02 02 04 0.6 0.8 1.0 02 04 0.6 0.8 1.0 (b) What is P(X S0.65) (Le, F(O.65))? (Round your answer to four dedimal places.) (C) LUsing the ccf from (a), what is R0.3

Let x denote the amount of space ocnupied by an artice placed in a l-ft paciing container. The paf of X is below. x) otherwise (a) Graph the pat. fIx) 0.2 0.4 0.6 1.0 0.2 0.4 0.6 1.0 fix) fix) 4f 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 Obtain the cof of X. Fx) - OSxs1 Graph the caf of X. FIX) FIX) 10 10 0.8 0.6 0.4 04 02 02 02 04 0.6 0.8 1.0 02 04 0.6 0.8 1.0 FIX) 10 10 08 0.0 04 04 02 02 02 04 0.6 0.8 1.0 02 04 0.6 0.8 1.0 (b) What is P(X S0.65) (Le, F(O.65))? (Round your answer to four dedimal places.) (C) LUsing the ccf from (a), what is R0.3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let X denote the amount of space ocoupied by an artide placed in a l-ft pacdng container. The pdf of X is below. x) - - x) O<x<1 otherwise (a) Graph the pdt. fix) fix) 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 fix) fix) 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. F(x) - 1 Graph the cdf of X. FIX) FIX) 10 10 0.8 0.8 0.6 0.6 0.4 0.4 02 02 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(X) FIX) 10 10 0.8 0.8 0.0 0.6 0.4 0.4 02 02 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (b) What is P(X S0.65) (Le., F(0.65))? (Round your answer to four dedmal places.) (C) Using the cdf from (a), what is R0.3 <XS0.65)? (Round your answer to four decimal places.) What is P0.3 sXS 0.65)? (Round your answer to four dedmal places.) (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(x) and o (Round your answers to four decimal places.) E(X)- (f) What is the probability that Xis more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Transcribed Image Text:Let X denote the amount of space ocoupied by an artide placed in a l-ft pacdng container. The pdf of X is below. x) - - x) O<x<1 otherwise (a) Graph the pdt. fix) fix) 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 fix) fix) 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. F(x) - 1 Graph the cdf of X. FIX) FIX) 10 10 0.8 0.8 0.6 0.6 0.4 0.4 02 02 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(X) FIX) 10 10 0.8 0.8 0.0 0.6 0.4 0.4 02 02 0.2 04 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (b) What is P(X S0.65) (Le., F(0.65))? (Round your answer to four dedmal places.) (C) Using the cdf from (a), what is R0.3 <XS0.65)? (Round your answer to four decimal places.) What is P0.3 sXS 0.65)? (Round your answer to four dedmal places.) (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) (e) Compute E(x) and o (Round your answers to four decimal places.) E(X)- (f) What is the probability that Xis more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
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