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(c) Using the cdf from (a), what is P(0.25 < X < 0.6)? (Round your answer to four decimal places.) What is P(0.25 ≤ x ≤ 0.6)? (Round your answer to four decimal places.)

(c) Using the cdf from (a), what is P(0.25 < X < 0.6)? (Round your answer to four decimal places.) What is P(0.25 ≤ x ≤ 0.6)? (Round your answer to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
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.

f(x) = 
 
56x6(1 − x)      0 < x < 1
0   otherwise

 

FIND C AND F PLEASE.

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 0.2 0.4 0.4 0.6 0.6 0.8 0.8 - X 1.0 1.0 X F(x) 1.0 What is P(0.25 ≤X ≤ 0.6)? (Round your answer to four decimal places.) 0.8 0.6 0.4 0.2 F(x) 1.0 0.8 0.6 0.4 0.2 (b) What is P(X ≤ 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) 0.1064 0.2 0.2 0.4 0.4 (c) Using the cdf from (a), what is P(0.25 < X < 0.6)? (Round your answer to four decimal places.) 0.6 0.6 0.8 0.8 1.0 1.0 X X
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 0.2 0.4 0.4 0.6 0.6 0.8 0.8 - X 1.0 1.0 X F(x) 1.0 What is P(0.25 ≤X ≤ 0.6)? (Round your answer to four decimal places.) 0.8 0.6 0.4 0.2 F(x) 1.0 0.8 0.6 0.4 0.2 (b) What is P(X ≤ 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) 0.1064 0.2 0.2 0.4 0.4 (c) Using the cdf from (a), what is P(0.25 < X < 0.6)? (Round your answer to four decimal places.) 0.6 0.6 0.8 0.8 1.0 1.0 X X
(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8794 (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.7778 = 0.1313 ox= (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1597 X
Transcribed Image Text:(d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8794 (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.7778 = 0.1313 ox= (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1597 X
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