Question

Consider the probability that less than 14 out of 157 flights will be delayed. assume the probability that a given flight will be delayed is 12% . approximate the probability using the normal distribution. round your answer to four decimal places.

Answer 1

To approximate the probability using the normal distribution, we can use the normal approximation to the binomial distribution. In this case, we have 157 flights and the probability of a flight being delayed is 0.12.

Step-by-step explanation:

To approximate the probability using the normal distribution, we can use the normal approximation to the binomial distribution. In this case, we have 157 flights and the probability of a flight being delayed is 0.12.

To find the probability of less than 14 flights being delayed, we need to calculate the cumulative probability up to 13 (since it's less than 14).

Using a normal distribution calculator or a standard normal table, we can find that the cumulative probability up to 13 is approximately 0.0128.

Therefore, the approximate probability that less than 14 out of 157 flights will be delayed is 0.0128.