wo difterent airlines nave drignt Trom LOS Angeles to New Tork that departs edch

Question

wo difterent airlines nave drignt Trom LOS Angeles to New Tork that departs edch weekday mo g at a certaln time. Let E denote the event that the Tirst irline's flight is fully booked on a particular day, and let F denote the event that the second airline's flight is fully booked on that same day. Suppose that E) = 0.7, P(F) = 0.6, and P(En F) = 0.48. (a) Calculate P(E | F) the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked. (Round your answer t three decimal places.) 1.167 b) Calculate P(F I E). (Round your answer to three decimal places.) 0.8

Explanation / Answer

P(E)=0.7

P(F)=0.6

P(E and F)=0.48

a) P(E|F)=P(E and F)/P(F)=0.48/0.6=0.8

b) P(F|E)=P(E and F)/P(E)=0.48/0.7=0.686

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