BlueSky Air has the best on-time arrival rate with % of its flights arriving
on time
. A test is conducted by randomly selecting 16 BlueSky Air flights and observing whether they arrive on time.
Part a
What is the
exact
probability that 2 flights of BlueSky Air arrive
late
? (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places).
Probability (as a proportion)
Part b
Finding the
exact
probability that at least 8 flights of BlueSky Air arrive
late
can be very tedious. As such we make use of Normal approximation model. What is the
approximated
probability? (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places).
Probability (as a proportion)
You can earn partial credit on this problem.