Question

Suppose that the probability of landing an interview after applying for a professional position is 0.13. A job seeker applies for 25 positions. What is the expected number of interviews

Answer 1

Answer:

The expected number of interviews is 3.25.

Step-by-step explanation:

For each person applying for a profissional position, there are only two possible outcomes. Either they land an interview, or they do not. The probability of a person landing an interview is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

In this problem, we have that:

$n = 25, p = 0.13$

So

$E(X) = np = 25*0.13 = 3.25$

The expected number of interviews is 3.25.