ASSUme that a binomial distnbuton w/ a tral repeated n=5 times. Use sore form of techndogy to find the distnbution given the probabilitip=0.717 of sAccess on a gingle trial procedure ulelds a

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
**Title: Understanding Binomial Distribution Through Technology**

**Introduction**

In statistics, a binomial distribution can model the number of successes in a fixed number of trials when the probability of success in each trial is constant. Understanding this concept is essential in various fields, from quality control to medical testing.

**Problem Statement**

Assume that a procedure yields a binomial distribution with a trial repeated \( n = 5 \) times. Use some form of technology to find the distribution given the probability \( p = 0.717 \) of success on a single trial.

**Data Table**

Here's the structure for the binomial distribution where \( x \) is the number of successes and \( P(X = x) \) is the probability of achieving \( x \) successes in 5 trials:

| \( x \) | \( P(X = x) \) |
|--------|---------------|
| 0      |               |
| 1      |               |
| 2      |               |
| 3      |               |
| 4      |               |
| 5      |               |

**Explanation of the Table**

- **\( x \)**: Represents the number of successes in each trial ranging from 0 to 5.
- **\( P(X = x) \)**: Represents the probability of achieving \( x \) successes out of 5 trials. This would typically be filled out using a binomial probability formula or technology such as statistical software or a graphical calculator.

**Using Technology**

To find the distribution:
1. **Statistical Software**: Input the number of trials (n = 5) and the probability of success (p = 0.717). The software will compute the probabilities for each number of successes.
2. **Graphing Calculator**: Use functions for binomial probability distribution with parameters \( n = 5 \) and \( p = 0.717 \).

**Conclusion**

By using technology, we can swiftly determine the probabilities associated with each possible number of successes in a binomial distribution, aiding in better understanding and practical application of statistical concepts.

---

This text is tailored to appear on an educational website, presenting the problem statement, table, and method to solve it clearly and concisely.
Transcribed Image Text:**Title: Understanding Binomial Distribution Through Technology** **Introduction** In statistics, a binomial distribution can model the number of successes in a fixed number of trials when the probability of success in each trial is constant. Understanding this concept is essential in various fields, from quality control to medical testing. **Problem Statement** Assume that a procedure yields a binomial distribution with a trial repeated \( n = 5 \) times. Use some form of technology to find the distribution given the probability \( p = 0.717 \) of success on a single trial. **Data Table** Here's the structure for the binomial distribution where \( x \) is the number of successes and \( P(X = x) \) is the probability of achieving \( x \) successes in 5 trials: | \( x \) | \( P(X = x) \) | |--------|---------------| | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | **Explanation of the Table** - **\( x \)**: Represents the number of successes in each trial ranging from 0 to 5. - **\( P(X = x) \)**: Represents the probability of achieving \( x \) successes out of 5 trials. This would typically be filled out using a binomial probability formula or technology such as statistical software or a graphical calculator. **Using Technology** To find the distribution: 1. **Statistical Software**: Input the number of trials (n = 5) and the probability of success (p = 0.717). The software will compute the probabilities for each number of successes. 2. **Graphing Calculator**: Use functions for binomial probability distribution with parameters \( n = 5 \) and \( p = 0.717 \). **Conclusion** By using technology, we can swiftly determine the probabilities associated with each possible number of successes in a binomial distribution, aiding in better understanding and practical application of statistical concepts. --- This text is tailored to appear on an educational website, presenting the problem statement, table, and method to solve it clearly and concisely.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman