A university has 10,000 students of which 3000 are male and 7000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male
Students.
A) Mean = 12, Variance = 12
B) Mean = 9, Variance = 6.3
C) Mean = 6, Variance = 1.8
D) Mean = 6.3, Variance = 9

Question

Quizplus · Accepted Answer

The mean number of male students is calculated as (3000/10000) * 30 = 9. The variance is calculated using the hypergeometric distribution formula: (n * (M/N) * (1 - M/N) * (N-n)/(N-1)), which gives approximately 6.3.

A University Has 10,000 Students of Which 3000 Are Male