Question

# An airline boast an on time probability of 92% for its flights from NY to Paris....

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?

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