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Textbook Expert
Textbook ExpertVerified Tutor
1 Nov 2021

Given information

The shaded area is given as follows:

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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