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, 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, f(x; a, ß) = {Ba x20 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.) (b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
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, 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, f(x; a, ß) = {Ba x20 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.) (b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![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, ß = 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
f(x; a, B) =
x 2 0
x < 0
by x - y and x 2 0 by x > y.]
(a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)
(b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)
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%2F61f2080c-7bae-4e43-99f8-ec91ca127635%2Fky325lh_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, ß = 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
f(x; a, B) =
x 2 0
x < 0
by x - y and x 2 0 by x > y.]
(a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)
(b) Calculate P(X > 1.5). (Round your answer to four decimal places.)
(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)
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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