Question

One of these 100 students is selected at random to give more detailed answers to some follow-up questions. Find the value of P(taken a public speaking class | majoring in business administration).

Answer 1

Given the answers of 100 students surveyed, you have to find the following probability:

P(taken a public speaking class | majoring in business administration)

This is the probability that the student has taken a public speaking class, given that he is majoring in business administration, which is a conditional probability.

We already know that the student is majoring in business administration, so instead of working with the information about the 100 students, you can directly work with the group os students that are doing that major:

You can determine this probability as the quotient between the students that took a public speaking class and are majoring in business and the total number of students that are majoring in business:

`P(public.class|bu\sin ess.major)=(10)/(55)`

So, the probability is 10/55