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 Weibulldistribution 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) = Ba²ΧΣ Οx < 0by x - y and x ≥ 0 by x ≥ y.](a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)0.5819X(b) Calculate P(X> 1.5). (Round your answer to four decimal places.)0.7156X(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)2.543x days1.834standard deviation 0.533(d) What are the mean and standard deviation of X? (Round your answers to three decimal places.)meanX daysX days

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Answered: a) Calculate P(1 < X < 2). (Round your…

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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aChen -. M Gmail YouTube Maps oscar - Google D... Translate New Tab ece Gler 2/6 100% SID: 2. A researcher is studying the relationship between various properties of wine and their taste characteristics. The histogram below shows the amount of residual sugar (sugar left after fermentation) in a collection of wines. However, one of the bars, between 3 and 5 grams per liter, is missing. 50 (47.9) (38.7) 30 10 (0.1) (0.92) (0.1) 2 10 15 Residual sugar (grams/liter) Calculate the height of the missing bar and draw it in. (Show your work below, and indicate the numerical value in parentheses above the bar.) % per gramlter
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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