Answer to Question #231647 in Statistics and Probability for Jamilah

Question

a) 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. Note that ”less than 30 minutes late” includes flights that arrived early or on time.

Less Than 30 30 Minutes to More Than

Minutes Late 1 Hour Late 1 Hour Late

Airline A

429 390 92

Airline B

393 316 80

If one flight is selected at random from these 1700 flights, find the probability

that this flight is

(i) not more than 1 hour late

[1 mark]

(ii) is not less than 30 minutes late

[1 mark]

(iii) a flight on airline B given that it is 30 minutes to 1 hour late

[2 marks]

(iv) more than 1 hour late given that it is a flight on airline A

[2 marks]