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Obtain the cdf of X. Flx) = {x° (10 – 9x) Osxs1 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 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(x) F(X) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (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(0.35 < X s 0.65)? (Round your ansvwer to four decimal places.) What is P(0.35 s x s 0.65)? (Round your answer to four decimal 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 X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)

Obtain the cdf of X. Flx) = {x° (10 – 9x) Osxs1 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 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(x) F(X) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (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(0.35 < X s 0.65)? (Round your ansvwer to four decimal places.) What is P(0.35 s x s 0.65)? (Round your answer to four decimal 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 X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with Section B, 

Section C part 1 and 2

Section D

Section E and F

Obtain the cdf of X. x< 0 F(x) = x° (10 – 9x) Osxs1 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 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(x) F(x) 1.0 1.0f 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (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(0.35 < Xs 0.65)? (Round your answer to four decimal places.) What is P(0.35 sXs 0.65)? (Round your answer to four decimal places.) (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) = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
Transcribed Image Text:Obtain the cdf of X. x< 0 F(x) = x° (10 – 9x) Osxs1 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 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 F(x) F(x) 1.0 1.0f 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 (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(0.35 < Xs 0.65)? (Round your answer to four decimal places.) What is P(0.35 sXs 0.65)? (Round your answer to four decimal places.) (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) = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)
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