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The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it departed on time is .93 Find the probability that a plane departed and arrived in time. Write answer to four decimals. 3 points

Respuesta :

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places