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Online Test 2 Question 13
Online Test 2
13. According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 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 15 flights are on time.
Find and interpret the probability that fewer than 15 flights are on time
Find and interpret the probability that at least 15 flights are on time.
Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
- There are two mutually exclusive outcomes, success or failure.
- The experiment is performed until a desired number of successes is reached.
- The trials are independent.
- There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
- The probability of success is the same for each trial of the experiment.
- Each trial depends on the previous trial.
- The experiment is performed a fixed number of times.
The probability that exactly 15 flights are on time is
The probability that fewer than 15 flights are on time is
The probability that at least 15 flights are on time is
The probability that between 13 and 15 flights, inclusive, are on time is