According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time fli (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. Each trial depends on the previous trial. The probability of success is the same for each trial of the experiment. The trials are independent. D. The experiment is performed until a desired number of successes is reached. A. B. Гус (...)
According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time fli (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 flights are on time. (d) Find and interpret the probability that at least 17 flights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. Each trial depends on the previous trial. The probability of success is the same for each trial of the experiment. The trials are independent. D. The experiment is performed until a desired number of successes is reached. A. B. Гус (...)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Understanding Binomial Experiments and Probability Calculations**
---
According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
### (a) Explain why this is a binomial experiment.
**Identify the statements that explain why this is a binomial experiment. Select all that apply:**
- [ ] A. Each trial depends on the previous trial.
- [x] B. The probability of success is the same for each trial of the experiment.
- [x] C. The trials are independent.
- [ ] D. The experiment is performed until a desired number of successes is reached.
- [ ] E. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late.
- [x] F. There are two mutually exclusive outcomes, success or failure.
- [x] G. The experiment is performed a fixed number of times.
### (b) Find and interpret the probability that exactly 17 flights are on time.
**The probability that exactly 17 flights are on time is \[ 0.0175 \].** \
(Round to four decimal places as needed.)
**Interpret the probability.**
In 100 trials of this experiment, it is expected that about \[ 2 \] will result in exactly 17 flights being on time. \
(Round to the nearest whole number as needed.)
### (c) Find and interpret the probability that fewer than 17 flights are on time.
**The probability that fewer than 17 flights are on time is \[ \boxed{\phantom{ty}}\].** \
(Round to four decimal places as needed.)
*(Note: The probability value is missing and needs to be filled in with the appropriate calculation.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9885b298-0da3-45d1-bdbe-d5991ebff07e%2F15887b9d-0d9e-4311-8044-21694c080c7b%2Flv6jlct_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Binomial Experiments and Probability Calculations**
---
According to an airline, flights on a certain route are on time 85% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
### (a) Explain why this is a binomial experiment.
**Identify the statements that explain why this is a binomial experiment. Select all that apply:**
- [ ] A. Each trial depends on the previous trial.
- [x] B. The probability of success is the same for each trial of the experiment.
- [x] C. The trials are independent.
- [ ] D. The experiment is performed until a desired number of successes is reached.
- [ ] E. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late.
- [x] F. There are two mutually exclusive outcomes, success or failure.
- [x] G. The experiment is performed a fixed number of times.
### (b) Find and interpret the probability that exactly 17 flights are on time.
**The probability that exactly 17 flights are on time is \[ 0.0175 \].** \
(Round to four decimal places as needed.)
**Interpret the probability.**
In 100 trials of this experiment, it is expected that about \[ 2 \] will result in exactly 17 flights being on time. \
(Round to the nearest whole number as needed.)
### (c) Find and interpret the probability that fewer than 17 flights are on time.
**The probability that fewer than 17 flights are on time is \[ \boxed{\phantom{ty}}\].** \
(Round to four decimal places as needed.)
*(Note: The probability value is missing and needs to be filled in with the appropriate calculation.)*
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