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Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below. 90x8(1-x) 0 < x < 1 otherwise 0 f(x) = x) = (a) Graph the pdf. f(x) 4 3 2 O 1 f(x) 4 3 2 Obtain the cdf of X. F(x) = 0.2 0.2 0 1 0.4 0.4 x < 0 0.6 x > 1 0.6 0 ≤ x ≤ 1 0.8 0.8 1.0 1.0 X WebAssign Plot f(x) O f(x) O 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1.0 1.0 X

Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below. 90x8(1-x) 0 < x < 1 otherwise 0 f(x) = x) = (a) Graph the pdf. f(x) 4 3 2 O 1 f(x) 4 3 2 Obtain the cdf of X. F(x) = 0.2 0.2 0 1 0.4 0.4 x < 0 0.6 x > 1 0.6 0 ≤ x ≤ 1 0.8 0.8 1.0 1.0 X WebAssign Plot f(x) O f(x) O 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 1.0 1.0 X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below. {90x³1 [90x³(1-x) 0 < x < 1 0 otherwise f(x) = (a) Graph the pdf. f(x) 4 3 2 1 f(x) Obtain the cdf of X. 0.2 F(x): = 0.2 0 0.4 1 0.4 x < 0 0.6 X > 1 0.6 0 ≤ x ≤ 1 0.8 f(x) LE 0.8 1.0 X 1.0 WebAssign Plot f(x) 4 2 1 0.2 0.4 0.2 0.6 0.4 0.8 0.6 1.0 0.8 X 1.0
Transcribed Image Text:Let X denote the amount of space occupied by an article placed in a 1-ft³ packing container. The pdf of X is below. {90x³1 [90x³(1-x) 0 < x < 1 0 otherwise f(x) = (a) Graph the pdf. f(x) 4 3 2 1 f(x) Obtain the cdf of X. 0.2 F(x): = 0.2 0 0.4 1 0.4 x < 0 0.6 X > 1 0.6 0 ≤ x ≤ 1 0.8 f(x) LE 0.8 1.0 X 1.0 WebAssign Plot f(x) 4 2 1 0.2 0.4 0.2 0.6 0.4 0.8 0.6 1.0 0.8 X 1.0
Graph the cdf of X. F(X) 1.0 0.8 0.6 0.4 0.2 F(x) 1.0 0.8 0.6 0.4 0.2 0.2 0.4 0.2 0.6 0.4 0.8 0.6 1.0 0.8 X F(x) 1.0 0.8 KU 0.6 0.4 0.2 X 1.0 F(x) 1.0 0.8 What is P(0.45 ≤ X ≤ 0.7)? (Round your answer to four decimal places.) 0.6 0.4 0.2 (b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.2 0.4 0.2 0.4 (c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.) 0.6 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8 0.6 0.8 X 1.0 + X 1.0
Transcribed Image Text:Graph the cdf of X. F(X) 1.0 0.8 0.6 0.4 0.2 F(x) 1.0 0.8 0.6 0.4 0.2 0.2 0.4 0.2 0.6 0.4 0.8 0.6 1.0 0.8 X F(x) 1.0 0.8 KU 0.6 0.4 0.2 X 1.0 F(x) 1.0 0.8 What is P(0.45 ≤ X ≤ 0.7)? (Round your answer to four decimal places.) 0.6 0.4 0.2 (b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.2 0.4 0.2 0.4 (c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.) 0.6 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8 0.6 0.8 X 1.0 + X 1.0
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