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 = 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, -t²-1-(x/B) α f(x; a, B) = Ba 0 x 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.) 0.4737 (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.7775 ✓ (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.843 ✔ days 1.510 0.624 (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean x 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, ß = 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, -t²-1-(x/B) α f(x; a, B) = Ba 0 x 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.) 0.4737 (b) Calculate P(X> 1.5). (Round your answer to four decimal places.) 0.7775 ✓ (c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.) 2.843 ✔ days 1.510 0.624 (d) What are the mean and standard deviation of X? (Round your answers to three decimal places.) mean x days standard deviation ✔ days
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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