During autumn 2001, there was a highly publicized outbreak of anthrax cases among U.S. Postal Service workers.

Question:

During autumn 2001, there was a highly publicized outbreak of anthrax cases among U.S. Postal Service workers. In Chance (Spring 2002), research statisticians discussed the problem of sampling mailrooms for the presence of anthrax spores. Let x equal the number of mailrooms contaminated with anthrax spores in a random sample of n mailrooms selected from a population of N mailrooms. The researchers showed that the probability for x is given by the formula

where k is the number of contaminated mailrooms in the population. (In section 4.4 we identify this probability distribution as the hyper geometric distribution.) Suppose N = 100, n = 3, and k = 20.
a. Find p(0).
b. Find p(1).
c. Find p(2).
d. Find p(3).

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...