Question: Show that E(X) = B - A B F (x) dx, where F (x) is the cumulative distribution function for X on A

Show that E(X) = B - ∫AF (x) dx, where F (x) is the cumulative distribution function for X on A ≤ x ≤ B.

Step by Step Solution

3.43 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

B By definition FX xf x dx ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!