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 conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B|A) = P(A and B)/P(A). Use the information below to find the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.81. The probability that a flight arrives on time given that it departed on time is. (Round to the nearest thousandth as needed.)

Explanation / Answer

answer

B = Depart On Time
A = Arrive On Time
Pr(B) = Pr(Depart on Time) = 0.92
Pr(A) = Pr(Arrive on Time) = 0.86
Pr(A and B) = Pr(Arrive & Depart On Time) = 0.81

Pr(Departed on Time given Arrived on Time) = Pr(B|A) = PR(A and B)/Pr(A)

=0.81/0.86

=0.9418

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