SOLUTION: An airline has 82% of its flights depart on schedule, it has 65%. of its flights depart and arrive on schedule. Find the probability that a flight departs on schedule also arrives

Algebra ->  Probability-and-statistics -> SOLUTION: An airline has 82% of its flights depart on schedule, it has 65%. of its flights depart and arrive on schedule. Find the probability that a flight departs on schedule also arrives       Log On


   

Question 1013293: An airline has 82% of its flights depart on schedule, it has 65%. of its flights depart and arrive on schedule. Find the probability that a flight departs on schedule also arrives on schedule. round the answer go two decimal places.
a). 0.80
b). 0.17
c). 0.53
d). 0.79
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If 82% depart on schedule, and 80% of those arrive on schedule, that is a probability of 0.6560 that it departs and arrives on schedule.
BUT, 0.79 probability of arriving on schedule gives a joint probability of 0.6478, which is closer to 0.65.
Therefore D, 0.79.