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)