This program allows you to calculate the Multinomial Distribution and visualize its graph. It uses two methods to evaluate the distribution based on user-defined coefficients.
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The Multinomial Distribution is a probability distribution that generalizes the concept of the Binomial Distribution to multiple categories or outcomes. It is used to model situations where there are more than two possible outcomes, each with its own probability of occurrence.
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In the Multinomial Distribution, the probability of each outcome is represented by a set of probabilities, usually denoted as (p_1, p_2, ..., p_k), where (k) is the number of categories.
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The distribution function calculates the probability of observing a specific combination of outcomes, each with a given frequency, in a fixed number of trials.
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The Multinomial Distribution is commonly used in various fields, including statistics, genetics, social sciences, and market research, to analyze data with multiple possible outcomes, such as survey responses, genetics, or customer preferences.
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The distribution can be visualized using a graph, where the x-axis represents the categories and the y-axis represents the probability or frequency of each category.
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In summary, the Multinomial Distribution is a probability distribution that models situations with multiple categories or outcomes, providing a way to calculate the probabilities of different combinations of outcomes and visualize the distribution using a graph.
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Clone the repository or download the code files.
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Make sure you have NumPy and Matplotlib installed. If not, you can install them using pip:
__________________________________________________ | | | *** pip install numpy *** | | *** pip install matplotlib *** | |__________________________________________________|
- Run the program.
- Enter the coefficients of the polynomial when prompted. Separate the coefficients by spaces.
- The program will calculate and display the Multinomial Distribution graph.
- The graph will be displayed in a separate window.
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* (: *** Welcome *** :) *
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* You can use this program to calculate the (Multinomial Distribution) and (display its Graph). *
* Just enter your list of numbers. *
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* for example: *
* Enter the coefficients of the polynomial (separated by spaces): -1 0 1 *
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" The program will display the graph of the Multinomial Distribution based on the input coefficients. "