In: Statistics and Probability
According to the IATA factsheet, the monthly worldwide average
number of airplane
accidents of commercial airlines is approximately 5.7. What is the
probability that there
will be:
a) more than 4 such accidents in the next month?
Hint: What distribution do you use to model the number of accidents
in a month?
b) more than 15 such accidents in the next 3 months?
Hint: What distribution do you use to model the total number of
accidents in 3
months?
c) What is the expected time in days from now to the 3rd accident
worldwide?
Hint: What distribution do you use to model the time between
accidents? What
distribution do you use to model the time between multiple
accidents?
Hint: Do not forget to convert your final result from months to
days. Assume a month
is 30 days.