X is a continuous random variable with the cumulative distribution function
F(x) = 0 when x < 0
= x2 when 0 ≤ x ≤ 1
= 1 when x > 1
We are given the cumulative distribution function of X:
The required probability is given by:
The probability density function of X is given by:
Thus, the pdf of X is given by:
The expected value of X is given by:
For any queries, feel free to comment and ask.
If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.
Get Answers For Free
Most questions answered within 1 hours.