Question

10. Use the table to answer the questions below.

	# of late flights	# of on time flights
Detla Airlines	6	33
Air France	5	43

a) If two flights are randomly selected (with replacement) what is the probability that they are both Sun Country flights?

b) If one flight is randomly selected, what is the probability that it is a late flight or a Delta flight?

c) If one flight is randomly selected, what is the probability that it was on time, given that the flight was a Delta flight?

11. 10 people have volunteered to participate in a study. A group of 3 will be selected from the 10 to receive a particular treatment. How many ways can the 3 people be selected from the group of 10?

Answer 1

Total number of flights = 6 + 33 + 5 + 43 = 87

Number of Sun Country flights = 0

a) If two flights are randomly selected (with replacement), the probability that they are both Sun Country flights

= 0

b) Number of late flights = 6 + 5 = 11

Number of Delta flights = 6 + 33 = 39

Number of late Delta flights = 6

If one flight is randomly selected, the probability that it is a late flight or a Delta flight is

= P(late flight) + P(Delta flight) - P(late Delta flight)

c) Number of Delta flights = 6 + 33 = 39

Number of on time Delta flights = 33

If one flight is randomly selected, the probability that it was on time, given that the flight was a Delta flight is

= P(on time | Delta flights)

= P(on time Delta flights) / P(Delta flight)

11. Number of ways in which 3 people be selected from the group of 10