Answer to Question #148503 in Statistics and Probability for May Lane

Question

Given that this flight was neoy heavily delayed, find the probability that it travelled between 500 km and 5000 km

Answer 1

Find condition probability:

P(between 500 km and 5000 km | not heavily delayed) =

= P(between 500 km and 5000 km AND not heavily delayed) / P( not heavily delayed) =

= [ P(between 500 km and 5000 km AND On time) + P(between 500 km and 5000 km AND Slightly delayed) ] / [P(On time) + P(Slightly delayed)]= (17+18) / (52 + 45) = 35/97 = 0.36