an airline gathers data on late departures and early arrivals over a month. it finds that the probability of…

an airline gathers data on late departures and early arrivals over a month. it finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. which equation shows how to correctly calculate the probability of a late departure or an early arrival?\np(late departure or early arrival) = 0.12 + 0.04\np(late departure or early arrival) = 0.12 + 0.27\np(late departure or early arrival) = 0.12 + 0.27 - 0.04\np(late departure or early arrival) = 0.27 + 0.04 - 0.12

an airline gathers data on late departures and early arrivals over a month. it finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. which equation shows how to correctly calculate the probability of a late departure or an early arrival?\np(late departure or early arrival) = 0.12 + 0.04\np(late departure or early arrival) = 0.12 + 0.27\np(late departure or early arrival) = 0.12 + 0.27 - 0.04\np(late departure or early arrival) = 0.27 + 0.04 - 0.12

Answer

Explanation:

Step1: Recall probability formula

For two events (A) and (B), (P(A\cup B)=P(A)+P(B)-P(A\cap B)). Let (A) be the event of late - departure and (B) be the event of early - arrival.

Step2: Substitute given values

We know that (P(A) = 0.12), (P(B)=0.27) and (P(A\cap B)=0.04). Then (P(A\cup B)=0.12 + 0.27-0.04).

Answer:

(P(\text{late departure or early arrival}) = 0.12 + 0.27-0.04)