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Textbook Expert
Textbook ExpertVerified Tutor
1 Nov 2021

Given information

, a continuous probability function is equal to  and the function is restricted to .

Step-by-step explanation

Step 1.

The range of  is from to is restricted to the portion between and  inclusive.

The probability distribution function is given by,

for .

The graph of  is a horizontal line segment when .

The formula of the area of the rectangle is given by,

Consider the following parameters:

 ,

.

Therefore, the area of the rectangle is:

   

The area corresponds to a probability.  . The probability that is above  is 0.834, mathematically

 .

Therefore, the value of is .

 

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