Question

There are eight flights from Minneapolis to St. Cloud each day. The probability that any one flight is late is 0.10. Using the binomial probability formula, what is the probability that none are late?

Answer 1

Answer: The probability that any one flight is not late is 1 - 0.10 = 0.90.

Let X be the number of flights out of 8 that are not late. We want to find P(X = 8), the probability that all eight flights are not late.

Using the binomial probability formula, we have:

P(X = 8) = (8 choose 8) * (0.90)^8 * (0.10)^0

= 1 * 0.43

= 0.43

Therefore, the probability that none of the flights are late is 0.43.

Explanation: