Question

About 24% of flights departing from New York's John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? .

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

(D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

Answer 1

Here option c is correct.

In the binomial experiment, one of the assumption is that the trials should be independent of each other.

Here one flight delayed is not independent of another. Hence binomial cannot be used.