If Y is a continuous random variable with density function f (y) that is symmetric about
Chapter 4, Problem 4.37(choose chapter or problem)
If Y is a continuous random variable with density function f (y) that is symmetric about 0 (that is, f (y) = f (y) for all y) and E(Y ) exists, show that E(Y ) = 0. [Hint: E(Y ) = # 0 y f (y) dy + # 0 y f (y) dy. Make the change of variable w = y in the first integral.]
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer