Question

(Hypergeometric Distribution) In a party there is an ice bin that contains 20 cans of soft drink of which 8 are Pepsi and the rest are Cokes. All cans are covered by ice so we cannot see their brand. If we randomly select 5 cans without replacement from the ice bin and let H be the number of Pepsi among the the selected 5. We know that H has hypergeometric distribution with N = 20, M = 8 and n = 5.

Derive the cdf of H by:

Type 0, 1, 2, 3, 4, 5 in column c10, use the command

MTB>cdf c10;

SUBC>hypergeometric 20 8 5.

Using the cdf of H answer the following parts(a) and (b).

a. What is the probability that there will be at most 2 (inclusive) Pepsi among the chosen drinks? [2]

b. What is the probability that there will exactly 2 cokes among the chosen drinks? [2]

Answer 1