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:
[tex]E(X) = np[/tex]
In this problem, we have that:
[tex]n = 25, p = 0.13[/tex]
So
[tex]E(X) = np = 25*0.13 = 3.25[/tex]
The expected number of interviews is 3.25.
