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? We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.   We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.   We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.   We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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?

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

 

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

 

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

 

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