Refer to the dart game of Example 1.2.7. Suppose we do not assume that the probability of

Question:

Refer to the dart game of Example 1.2.7. Suppose we do not assume that the probability of hitting the dart board is 1, but rather is proportional to the area of the dart board. Assume that the dart board is mounted on a wall that is hit with probability 1, and the wall has area A.
(a) Using the fact that the probability of hitting a region is proportional to area, construct a probability function for P(scoring i points), i = 0,... ,5. (No points are scored if the dart board is not hit.)
(b) Show that the conditional probability P(scoring i points| board is hit) is exactly the probability of Example 1.2.7.
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...