Match the degrees of freedom to its possible graph of the χ2 distribution. Not all choices are selected. Graph #1, #2, #3 (see attached) Options (to select from): 50 300 10 3
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Match the degrees of freedom to its possible graph of the χ2 distribution. Not all choices are selected.
Graph #1, #2, #3 (see attached)
Options (to select from):
- 50
- 300
- 10
- 3
![The image contains three graphs, each depicting a different probability distribution.
1. **Graph 1 (Top Graph): Normal Distribution**
- This graph represents a normal distribution, also known as a Gaussian distribution, often referred to as a bell curve due to its shape.
- The x-axis ranges from 0 to 90, with a peak around the middle (approximately 50), indicating the mean of the distribution.
- The curve is symmetrical around the mean, and the tails approach the x-axis but never touch it.
2. **Graph 2 (Middle Graph): Log-Normal Distribution**
- This graph displays a log-normal distribution.
- The x-axis is marked with tick marks, and the curve is skewed to the right, indicating that this distribution is not symmetric.
- The peak is located towards the left side, with a long tail extending to the right.
- This distribution is often used in statistics to model variables that are positively skewed.
3. **Graph 3 (Bottom Graph): Gamma Distribution**
- The final graph depicts a gamma distribution.
- The x-axis ranges from 0 to 8, with values increasing to 0.3 on the y-axis.
- The curve rises sharply to a peak at around 1, then gradually declines as it moves to the right, indicating a right-skewed distribution.
- The gamma distribution is commonly used to model wait times and is characterized by its shape (α parameter) and scale (β parameter).
These graphs illustrate three different types of probability distributions, each with unique characteristics used to model various statistical phenomena.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F794c3cdc-943c-4161-bd24-54c3212206bd%2Fd97b81bf-99f1-4508-a2bc-8f5a906b885f%2Fc0nlnco_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)