Two different airlines have a flight from Los Angeles to New York that departs e

Question

Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Let E denote the event that the first airline's flight is fully booked on a particular day, and let F denole Lhe event thal the second airline's flight is fully booked on that sarne day. Suppose thal P(E) 0.8, P(F) 0.6, and P(EnF) -0.48 a) Calculate PE 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 to three decimal places.) (b) Calculate PFI E) (Round your answer to three decimal places.)

Explanation / Answer

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 / 0.8 = 0.6                                   

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