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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.) 0.0045 X 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 (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.0124 X x=0.1114

(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.) 0.0045 X 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 (e) Compute E(X) and ox. (Round your answers to four decimal places.) E(X)= 0.0124 X x=0.1114

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.) 0.0045 X 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) = X = 0.0124 = 0.1114 ox= (f) What is the probability that Vis mors 1 standard deviation from ite 62 (Round four do
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.) 0.0045 X 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) = X = 0.0124 = 0.1114 ox= (f) What is the probability that Vis mors 1 standard deviation from ite 62 (Round four do
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) = (90x8(1 − ×) (a) Graph the pdf. f(x) 4 3 2 f(x) 4 3 2 1 Obtain the cdf of X. 0 < x < 1 otherwise 0.2 0.2 0.4 0.4 0.6 0 F(x) = { x(10 −9x) : 1 0.6 × < 0 0.8 × > 1 0.8 0 < x < 1 1.0 X 1.0 f(x) 4 X 3 f(x) 4F 3 ME 2 1 0.2 0.4 0.6 2 1 0.2 0.4 0.6 0.8 1.0 0.8 X 1.0 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. = f(x) = (90x8(1 − ×) (a) Graph the pdf. f(x) 4 3 2 f(x) 4 3 2 1 Obtain the cdf of X. 0 < x < 1 otherwise 0.2 0.2 0.4 0.4 0.6 0 F(x) = { x(10 −9x) : 1 0.6 × < 0 0.8 × > 1 0.8 0 < x < 1 1.0 X 1.0 f(x) 4 X 3 f(x) 4F 3 ME 2 1 0.2 0.4 0.6 2 1 0.2 0.4 0.6 0.8 1.0 0.8 X 1.0 X
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