Question

f(x)=kx/8, 0<x<5. Find the value of the constant k and Pr(1<x<3). *

f(x)=kx/8, 0<x<5. Find the value of the constant k and Pr(1<x<3). *

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Answer #1

Solution :

We have the following information given regarding the probability density function (PDF) :

To find the value of the constant   and   :

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1) To find the value of the constant   :

We know that a function for being a PDF must satisfy the following criterion :

  

  

Thus , putting the value of the constatnt   , the PDF becomes ,

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2) To find the value of   :

Using the value of the constant   , we found the PDF as ,

Thus , to find the required probability , we have ,

  

  

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