Question

American Airlines' flights from Chicago to Seattle are on time 80 % of the time. Suppose 5 flights are randomly selected, and the number on-time flights is recorded.
1.The probability that at least 2 flights are on time is =
2.The probability that at most 2 flights are on time is =
3.The probability that exactly 2 flights are on time is =

Answer 1

X ~ B ( n = 5 , P = 0.8 )

Part 1)

P ( X >= 2 ) = 0.9933

Part 2)

P ( X <= 2 ) = 0.0579

Part 3)