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 = 2.6, B = 1.8, 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, xa - le-(x/B)a Ba a x 20 f(x; a, B) = x < 0 by x - y and x 2 0 by x 2 y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.4283 (b) Calculate P(X > 1.5). (Round your answer to four decimal places.) 0.8050 (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 1.878 x days (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean days standard deviation days
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 = 2.6, B = 1.8, 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, xa - le-(x/B)a Ba a x 20 f(x; a, B) = x < 0 by x - y and x 2 0 by x 2 y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.4283 (b) Calculate P(X > 1.5). (Round your answer to four decimal places.) 0.8050 (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 1.878 x days (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean days standard deviation days
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 = 2.6, B = 1.8,
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,
:- le-(x/B)a
pa
a
x 2 0
f(x; а, B) %3D
x < 0
by x - y and x 2 0 by x 2 y.]
(a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)
0.4283
(b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
0.8050
(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)
1.878
X days
(d) What are the mean and standard deviation of X? (Round your answers to three decimal places.)
mean
days
standard deviation
days](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee8fb823-9e56-4d34-a863-64debae68570%2Fca24b9d4-a20c-46eb-b156-3d060358ed7f%2Fblcqbhq_processed.png&w=3840&q=75)
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 = 2.6, B = 1.8,
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,
:- le-(x/B)a
pa
a
x 2 0
f(x; а, B) %3D
x < 0
by x - y and x 2 0 by x 2 y.]
(a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)
0.4283
(b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
0.8050
(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)
1.878
X days
(d) What are the mean and standard deviation of X? (Round your answers to three decimal places.)
mean
days
standard deviation
days
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