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 alpha =2.9, beta =1.1, and gamma =0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter gamma , called solutionspile.com

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

\alpha =2.9,\beta =1.1

, and

\gamma =0.5

. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter

\gamma

, called a threshold or location parameter: replace

x

in the equation below,

f(x;\alpha ,\beta )={((\alpha )/(\beta ^(\alpha ))x^(\alpha -1)e^(-((x)/(\beta ))^(\alpha )),x>=0),(0,x<0):}

by

x-\gamma

and

x>=0

by

x>=\gamma

.] (a) Calculate

P(x>1.5)x

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