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.
To get more about probability visit:
https://brainly.com/question/24756209