related to probability

Question

Adarsh Sharma, supervisor of customer relations for Fly High airlines at Delhi Airport, is studying the problem of customer inconvenience due to flight delays. He is concentrating on three late-night flights out of Indira Gandhi International (IGI) Airport in New Delhi, In the last year, 7, 8, and 5 percent of the London, New York, and Singapore flights, respectively have been delayed. Further, 55, 20, and 25 percent of the late-night Fly High at IGI are for London, New York, and destinations, respectively. What is the probability that a delayed flight was scheduled for (a) London, (b) New York, and (c) Singapore?

Answer 1

P(London|Delay) = P(D|L)P(L)/P(D)

P(D) = .55*.07 + .20*.08 + .25*.05 = .067

P{L|D) = (.07)(.55)/.067 = .575

I'll leave the other two for you.

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