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

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:

In this problem, we have that:

So

The expected number of interviews is 3.25.

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400

a negative exponent is translated as follows:

so, we have