# Question

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. “less 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 “airline A” and “more than 1 hour late” mutually exclusive? What about the events “less than 30 minutes late” and “more than 1 hour late?” Why or why not?

c. Are the events “airline B” and “30 minutes to 1 hour late” independent? Why or why not?

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 “airline A” and “more than 1 hour late” mutually exclusive? What about the events “less than 30 minutes late” and “more than 1 hour late?” Why or why not?

c. Are the events “airline B” and “30 minutes to 1 hour late” independent? Why or why not?

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