# Question: 7. The following table contains data from a study of two airlines which fly to a certain small town. 33 43 Number of flights Number of flights which were on time which were late Podunk Airline Upstate Airline (a) (4 points) If one of the 87 flights is randomly selected, find the probability that the flight selected flight arrived on time given that it was an Upstate Airline flight. A B. C D. E. None of the above (b) (4 points) If one of the 87 flights is randomly selected, find the probability that the flight selected flight arrived on time and it was an Upstate Airline flight. E. None of the above 3 1.13 B. D.–Free Chegg Question Answer

`Transcribed text From Image: 7. The following table contains data from a study of two airlines which fly to a certain small town. 33 43 Number of flights Number of flights which were on time which were late Podunk Airline Upstate Airline (a) (4 points) If one of the 87 flights is randomly selected, find the probability that the flight selected flight arrived on time given that it was an Upstate Airline flight. A B. C D. E. None of the above (b) (4 points) If one of the 87 flights is randomly selected, find the probability that the flight selected flight arrived on time and it was an Upstate Airline flight. E. None of the above 3 1.13 B. D.`
Contents

`Answer:`

Solution:

Given:

Part a) Find:

P( Flight arrived on Time given that it was an Upstate Airline )=………….?

P( Flight arrived on Time | Upstate Airline )= Number of on time flights from Upstate Airline / Total of Upstate Airline

P( Flight arrived on Time | Upstate Airline )= 43 / 48

A) 43/48

Part b)

P( Flight arrived on Time and Upstate Airline )=…………….?

P( Flight arrived on Time and Upstate Airline )= Number of on time flights from Upstate Airline / Total flights

P( Flight arrived on Time and Upstate Airline )= 43 / 87