Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 3363076 • Letter: B

Question

By rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) P(A) conditional probabilities. The conditional probability of event B occurring. given that event A has occurred, is P(B A) Use the information below to find 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 087 The probability that a flight departs and arrives on time is 0.83 The probability that a flight departed on time given that it arrives on time is Round to the nearest thousandth as needed.)

Explanation / Answer

1)

probability that flight depart on time given arrives on time =P(depart and arrive on time)/P(arrive on time)

=0.83/0.87=0.954

2)

probability that flight arrives on time given depart on time =P(depart and arrive on time)/P(depart on time)

=0.82/0.92 =0.891