Question

In: Statistics and Probability

According to an​ airline, flights on a certain route are on time 85​% of the time....

According to an​ airline, flights on a certain route are on time 85​% of the time. Suppose 8 flights are randomly selected and the number of on time flights is recorded. Use technology to find the probabilities. Use the Tech Help button for further assistance. ​(a) Determine whether this is a binomial experiment. ​(b) Find and interpret the probability that exactly 6 flights are on time. ​(c) Find and interpret the probability that at least 6 flights are on time. ​(d) Find and interpret the probability that fewer than 6 flights are on time. ​(e) Find and interpret the probability that between 5 and 7 ​flights, inclusive, are on time.

Solutions

Expert Solution

  1. The trails are independent.
  2. The experiment is performed a fixed number of times.
  3. There are two mutually exclusive outcomes, success or failure.
  4. The probability of success in the same for each trail of the experiment.

In 100 trials of this experiment, it is expected about to result in exactly 6 flights being on time.

In 100 trials of this experiment, it is expected about to result in at least 6 flights being on time.

In 100 trials of this experiment, it is expected about to result in fewer than 6 flights being on time.

In 100 trials of this experiment, it is expected about to result in between 5 and 7, inclusive, flights being on time.


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