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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

`\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`