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? p(late departure or early arrival) = 0.12 0.04 p(late departure or early arrival) = 0.12 0.27 p(late departure or early arrival) = 0.12 0.27 – 0.04 p(late departure or early arrival) = 0.27 0.04 – 0.12

Respuesta :

The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

What is probability?

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

What is probability?

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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https://brainly.com/question/24756209