Question

An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a new route is not​ granted, it will hire only 199 new employees. If the probability that a new route will be granted is 0.37, what is the expected number of new employees to be hired by the​ airline?

Answer 1

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

• P(X = 837) = 0.37.

• P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677