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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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