The following table shows the percentage of on-time arrivals, the number of mish

Question

The following table shows the percentage of on-time arrivals, the number of mishandled baggage reports per 1,000 passengers, and the number of customer complaints per 1,000 passengers for 10 airlines.

(a)

If you randomly choose an Airline 4 flight, what is the probability that this individual flight has an on-time arrival?

(b)

If you randomly choose one of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with less than two mishandled baggage reports per 1,000 passengers?

(c)

If you randomly choose 1 of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with more than one customer complaint per 1,000 passengers?

(d)

What is the probability that a randomly selected Airline 3 flight will not arrive on time?

Airline On-Time Arrivals
(%) Mishandled Baggage
per 1,000 Passengers Customer Complaints
per 1,000 Passengers Airline 1 83.3 0.79 1.50 Airline 2 79.1 1.91 0.80 Airline 3 86.9 1.64 0.95 Airline 4 86.5 2.13 0.76 Airline 5 87.2 3.04 0.47 Airline 6 78.2 2.21 1.11 Airline 7 83.1 3.18 0.23 Airline 8 85.7 2.19 1.70 Airline 9 77.1 2.89 1.77 Airline 10 77.2 3.79 4.29

Explanation / Answer

a)probability that this individual flight has an on-time arrival =0.865

b) probability that you will choose an airline with less than two mishandled baggage reports per 1,000 passengers =3/10 =0.3 (as 3 out of 10 has less than 2mishandled baggage reports per 1,000 )

c)probability that you will choose an airline with more than one customer complaint per 1,000 passengers =5/10 =0.5

d)

probability that a randomly selected Airline 3 flight will not arrive on time =1-0.869=0.131

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