Chapter 6 Review Homework Question 10

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Chapter 6 Review Homework Question 10

Question

Chapter 6 Review Homework 

10.  According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 17 flights are randomly selected and the number of​ on-time flights is recorded. 

 
​(a) Explain why this is a binomial experiment.
​(b) Find and interpret the probability that exactly 11 flights are on time.
​(c) Find and interpret the probability that fewer than 11 flights are on time.
​(d) Find and interpret the probability that at least 11 flights are on time.
​(e) Find and interpret the probability that between 9 and 11 ​flights, inclusive, are on time.
 

(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.

  1. The experiment is performed a fixed number of times.
  2. There are three mutually exclusive possibly​ outcomes, arriving​ on-time, arriving​ early, and arriving late.
  3. The trials are independent.
  4. There are two mutually exclusive​ outcomes, success or failure.
  5. Each trial depends on the previous trial.
  6. The probability of success is the same for each trial of the experiment.
  7. The experiment is performed until a desired number of successes is reached.

 

​(b) The probability that exactly 11 flights are on time is

Interpret the probability. In 100 trials of this​ experiment, it is expected about __ to result in exactly 11 flights being on time.
 
(c) The probability that fewer than 11 flights are on time is ___
 
Interpret the probability. In 100 trials of this​ experiment, it is expected about __ to result in fewer than 11 flights being on time.
 
(d) The probability that at least 11 flights are on time Is
 
Interpret the probability.
 
In 100 trials of this​ experiment, it is expected about____ to result in at least 11 flights being on time.
 
(e) The probability that between 9 and 11 ​flights, inclusive, are on time is
 
Interpret the probability.
 
In 100 trials of this​ experiment, it is expected about _____ to result in between 9 and 11 ​flights, inclusive, being on time.
 

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This question is taken from Math 227 – Statistics » Summer 2021 » Chapter 6 Review Homework