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
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.