A committee of 5 people is to be formed from 11 civil employees and 8 small business people. The expected number of small business people on the committee is? using hypergeometric distribution

Answer 1

To find the expected number of small business people on the committee, we can use the hypergeometric distribution formula:

Expected value (E[X]) = n * (m/N)

Where:
n = number of people on the committee (5)
m = number of small business people (8)
N = total number of people to choose from (11 civil employees + 8 small business people = 19)

Plugging in the values, we get:
E[X] = 5 * (8/19)
E[X] = 40/19
E[X] ≈ 2.11

Therefore, the expected number of small business people on the committee is approximately 2.11.