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 denote the event that the second airline's flight is fully booked on that same day. Suppose that P(E)= 0.8, P(F) = 0.6, and P(EF) = 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 to three decimal places.) 0.8 (b) Calculate P(FIE). (Round your answer three decimal places.) 0.6

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Intro to Statistics

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 denote the event that the second airline's flight is fully booked on that
same day. Suppose that P(E) = 0.8, P(F) = 0.6, and P(E N 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 to three decimal places.)
0.8
(b) Calculate P(F | E). (Round your answer to three decimal places.)
0.6
Transcribed Image Text: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 denote the event that the second airline's flight is fully booked on that same day. Suppose that P(E) = 0.8, P(F) = 0.6, and P(E N 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 to three decimal places.) 0.8 (b) Calculate P(F | E). (Round your answer to three decimal places.) 0.6
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