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a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.5819 x b) Calculate P(X>1.5). (Round your answer to four decimal places.) 0.7156 x c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.543 x days

a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.5819 x b) Calculate P(X>1.5). (Round your answer to four decimal places.) 0.7156 x c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.543 x days

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distribution with a = 2.7, ß = 1.7, and y = 0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter y, called a threshold or location parameter: replace x in the equation below, = {==== 0 _xa - le-(x/B) * f(x; α, B) = Ba² ΧΣ Ο x < 0 by x - y and x ≥ 0 by x ≥ y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.5819 X (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.7156 X (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.543 x days 1.834 standard deviation 0.533 (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean X days X days
Transcribed Image Text:Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distribution with a = 2.7, ß = 1.7, and y = 0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter y, called a threshold or location parameter: replace x in the equation below, = {==== 0 _xa - le-(x/B) * f(x; α, B) = Ba² ΧΣ Ο x < 0 by x - y and x ≥ 0 by x ≥ y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.5819 X (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.7156 X (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.543 x days 1.834 standard deviation 0.533 (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean X days X days
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