A consumer agency randomly selected 1700 flights for two major airlines, A and B. The following table gives the two-way classification of these flights based on airline and arrival time. €œless than 30 minutes late€ includes flights that arrived early or on time.

a. If one flight is selected at random from these 1700 flights, find the probability that this flight is
i. More than 1 hour late
ii. Less than 30 minutes late
iii. A flight on airline A given that it is 30 minutes to 1 hour late
iv. More than 1 hour late given that it is a flight on airline B
b. Are the events €œairline A€ and €œmore than 1 hour late€ mutually exclusive? What about the events €œless than 30 minutes late€ and €œmore than 1 hour late?€ Why or why not?
c. Are the events €œairline B€ and €œ30 minutes to 1 hour late€ independent? Why or why not?

Transcribed Image Text:

Less Than 30 Minutes Late 429 393 30 Minutes to 1 Hour Late 390 316 More Than 1 Hour Late 92 80 Airline A Airline B