Textbook ExpertVerified Tutor
1 Nov 2021
Given information
f(x), 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 both inclusive, is restricted to the portion between and inclusive.
It is given that,
For , we have
The graph of is a horizontal line segment when .
The area can be calculated as
.
and .
Therefore, the area of the rectangle is
This area corresponds to a probability. The probability that is between and is , mathematically,
.
Therefore,
Therefore, the value of is .
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