Question

An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 982 new employees. If a new route is not granted, it will hire only 144 new employees. If the probability that a new route will be granted is 0.34, what is the expected number of new employees to be hired by the airline?

Options:
A) 365.28
B) 560.88
C) 290.68
D) 648.72

Answer 1

To find the expected number of new employees to be hired by the airline, we can multiply each possible outcome by its corresponding probability and sum them up. Therefore, the expected number of new employees to be hired by the airline is approximately 428.92.

Step-by-step explanation:

To find the expected number of new employees to be hired by the airline, we can use the concept of expected value. We multiply each possible outcome by its corresponding probability and sum them up.

Let X be the number of new employees to be hired. The airline will hire 982 new employees if the new route is approved, which has a probability of 0.34. The airline will hire 144 new employees if the new route is not granted, which has a probability of 0.66 (1-0.34).

So, the expected number of new employees is:

1. 982 * 0.34 + 144 * 0.66 = 333.88 + 95.04 = 428.92

Therefore, the expected number of new employees to be hired by the airline is approximately 428.92.