Uniform Distribution

Multinomial Distribution Calculator and Graph Plotter

This program allows you to calculate the statistics of a dataset and visualize the Uniform Distribution by plotting its graph.

Distribution

• The Uniform Distribution, also known as the Rectangular Distribution, is a probability distribution in which every possible outcome within a given range is equally likely to occur. It is characterized by a constant probability density function (pdf) across the range.

• In a Uniform Distribution, the probability density function is represented by a horizontal line. The height of the line remains constant within the range, indicating the equal likelihood of any value occurring. The range is defined by two parameters: the minimum value (a) and the maximum value (b).

• More Information

Installation

1. Clone the repository or download the code files.

2. Make sure you have NumPy and Matplotlib installed. If not, you can install them using pip:

                                       __________________________________________________
                                      |                                                  |
                                      |     ***      pip install numpy          ***      |
                                      |     ***      pip install matplotlib     ***      |
                                      |__________________________________________________|
   

Usage

1. Run the program.
2. Enter a list of numbers separated by commas when prompted.
3. The program will calculate the mean of the input data and display it.
4. The program will generate a graph of the Uniform Distribution based on the input data.

Example

                          ************************************************************************************                                    
                          *          (:                 ***   Welcome   ***                     :)           *
                          *                                                                                  *
                          *                  You can use this program to calculate the                       *
                          *                (Uniform Distribution) and (display its Graph).                   *
                          *                      Just enter your list of numbers.                            *
                          *                                                                                  *
                          ************************************************************************************
                          *       The formula for Uniform Distribution (Probability Density Function):       * 
                          *                     𝑦    = 1 / (𝑏 - 𝑎)                                           *
                          *                   - 𝑦    = probability density function                          *
                          *                   - 𝑎    = minimum value                                         *
                          *                   - 𝑏    = maximum value                                         *
                          *                                                                                  *
                          ************************************************************************************

                          ---> Enter a list of numbers (comma-separated): 2.5, 4, 3, 3.8, 5, 6, 2.3, 4.5

                          ---> Mean: 3.8625

                         ---> *(The program will display the Poisson Distribution graph based on the entered numbers.)*  <--- 

License

• NumPy
• Matplotlib