Question

The student body of a large university consists of 40% Business majors. A random sample of six students from this university is selected.

What is the probability that exactly two students in the sample are Business majors?

Answer 1

The answer is 0.31

Explanation:

We can solve this problem as a binomial distribution function. Probability of selecting business mayors is p=0.4 and selecting non-business mayors is q=0.6.

Then selecting 2 busies mayors out of six is:

`P(x)=combination(6,2)*0.4^2*0.6^4\\P(x)=0.31`