Problem
According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
• Explain why this is a binomial experiment.
• Find and interpret the probability that exactly 14 flights are on time.
• Find and interpret the probability that fewer than 14 flights are on time.
• Find and interpret the probability that at least 14 flights are on time.
• Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.
The response should include a reference list. Using double-space, Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.