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(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤ x ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 x (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535 X

(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X < 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤ x ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 x (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535 X

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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(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤X ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 X (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X) = 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535
Transcribed Image Text:(b) What is P(X ≤ 0.7) [i.e., F(0.7)]? (Round your answer to four decimal places.) 0.1493 (c) Using the cdf from (a), what is P(0.45 < X ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 What is P(0.45 ≤X ≤ 0.7)? (Round your answer to four decimal places.) 0.1448 (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.8181 X (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X) = 0.8182 x=0.1114 (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.) 0.1535
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 {90x811 otherwise f(x) = (a) Graph the pdf. f(x) 4 3 2 1 f(x) 4 3 2 1 Obtain the cdf of X. 0.2 F(x) = 0.4 0.2 20-1250-50) 9 X 1 0.4 0.6 f(x) 4 3 LE 2 1 0.8 1.0 0.6 x < 0 0.8 (10 – 9x) 0 ≤ x ≤ 1 X > 1 X 1.0 f(x) 4 3 2 1 0.2 0.4 0.2 0.6 0.4 0.8 0.6 0.8 1.0 1.0 X X
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. [90x8(1-x) 0 < x < 1 {90x811 otherwise f(x) = (a) Graph the pdf. f(x) 4 3 2 1 f(x) 4 3 2 1 Obtain the cdf of X. 0.2 F(x) = 0.4 0.2 20-1250-50) 9 X 1 0.4 0.6 f(x) 4 3 LE 2 1 0.8 1.0 0.6 x < 0 0.8 (10 – 9x) 0 ≤ x ≤ 1 X > 1 X 1.0 f(x) 4 3 2 1 0.2 0.4 0.2 0.6 0.4 0.8 0.6 0.8 1.0 1.0 X X
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