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 = 2.1, ß = 1.1, and y = 0.5. [Hint: Th 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): Ba * 20 x < 0 by x - y and x ≥ 0 by x ≥ y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.6309 X (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.5704 X (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.399 x days (d) What are the mean and standard deviation of X? (Round your answers to three 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 = 2.1, ß = 1.1, and y = 0.5. [Hint: Th 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): Ba * 20 x < 0 by x - y and x ≥ 0 by x ≥ y.] (a) Calculate P(1 < X < 2). (Round your answer to four decimal places.) 0.6309 X (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.5704 X (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.399 x days (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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