Ninety percent of flights depart on time. Eighty percent of flights arrive on time. Seventy-two percent of flights depart on time and arrive on time. (i) You are meeting a flight that departed on...

Ninety percent of flights depart on time. Eighty percent of flights arrive on time.
Seventy-two percent of flights depart on time and arrive on time.

(i) You are meeting a flight that departed on time. What is the probability that it will arrive on time?

(ii) You have met a flight, and it arrived on time. What is the probability that it departed
on time?

(iii) Are the events, departing on time and arriving on time, independent?