Let f be a p f for a discrete distribution Suppose that f (x) 0 for x 0, 1 Prove that the variance of this distribution is at most 1 4 Prove that there is a distribution supported on just the two points 0, 1 that has variance at least as large as f does and then prove that the variance of a distrib...

Let X have pf equal to f Assume that VarX 0 otherwise it is surely less than 14 First suppose that X ...

Let f be a p.f. for a discrete distribution. Suppose that f (x) = 0 for x

Question:

Let f be a p.f. for a discrete Suppose that f (x) = 0 for x ∉ [0, 1]. Prove that the variance of this is at most 1/4. Prove that there is a supported on just the two points {0, 1} that has variance at least as large as f does and then prove that the variance of a supported on {0, 1} is at most 1/4.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...