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Textbook Expert
Textbook ExpertVerified Tutor
1 Nov 2021

Given information

The following figure is given:

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 between and is , mathematically

 .

Therefore, the value of is .

 

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