22% of all resumes received by a corporation for a management position are from females. 18 resumes will be received tomorrow.
What is the probability that exactly 1 resume will be from females?

5.80% probability that exactly 1 resume will be from females.

Step-by-step explanation:

For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

22% of all resumes received by a corporation for a management position are from females.

This means that

18 resumes will be received tomorrow.

This means that

What is the probability that exactly 1 resume will be from females?

This is P(X = 1).

5.80% probability that exactly 1 resume will be from females.