Question

An airline boast an on time probability of 92% for its flights from NY to Paris. It claims to have an on arrival rate of 95% for its flights from NY to London.

a) What is the probability of randomly selecting a NY to Paris flight and a NY London flight that both arrive on time?

b) What is the probability of selecting a flight from NY to Paris and one from NY to London and both do not arrive on time?

c) What is the probability of selecting a flight from NY to Paris and one from NY to London and only the the flight from NY to London arrives on time?

Answer #1

a)Probability that both the flights arrive on time =

= Probability of flight from NY to paris being on time* probability of flight from NY to London being on time

=0.92*0.95 = 0.874

b) Probability of both not arriving on time = (Probability of flight from NY to paris not being on time* probability of flight from NY to London not being on time)

= (1-0.92)*(1-0.95)

= 0.08*0.05

= 0.004

c) Probability that flight from NY to London being on time and NY to Paris not being on time

= 0.95*(1-0.92)

= 0.076

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12#5
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continuously tracked by the U.S. Department of Transportation.
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