The joint pmf of (X, Y) is for x = 1, ...., n, y = 1, ...

Question:

The joint pmf of (X, Y) is

P(X = x,Y = y):

for x = 1, ...., n, y = 1, ... , x.

(a) Find the marginal distribution of X. Describe the distribution qualitatively.
(b) Find E[Y/(X + 1)].
(c) For the case n = 3, write out explicitly the joint probability table and confirm your result in (b).

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...
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