By rewriting the formula for the multiplication rule, you can write a formula fo

Question

By rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) P(A) Use the information below to find conditional probabilities. The conditional probability of event B occurring. given that event A has occurred, is P(B])PA the probability that a flight departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.91. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.82 The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)

Explanation / Answer

P( Departs on time) = 0.91

P( Arrives on time) = 0.86

P( Departs And Arrives on time) = 0.82

Therefore,

P(Depart on time | Arrives on time) = P( Departs And Arrives on time) / P( Arrives on time)

= 0.82 / 0.86

= 0.953

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