Question

an airline is planning its staffing needs for the next year. if a new route is approved, it will hire 897 new employees. if a new route is not granted, it will hire only 112 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? the expected number of new employees to be hired is (round to the nearest whole number.)

Explanation:

Step1: Calculate the probability of not - granting a new route

The sum of probabilities of all possible events is \(1\). Let \(P(\text{approved}) = 0.34\), then \(P(\text{not approved})=1 - 0.34=0.66\)

Step2: Use the formula for expected value

The formula for expected value \(E(X)\) of a discrete random variable \(X\) is \(E(X)=\sum_{i}x_ip_i\). Here, \(x_1 = 897\), \(p_1=0.34\), \(x_2 = 112\), \(p_2 = 0.66\)

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Answer:

\(379\)