A calculator for Binomial Probability-related problems

Inspired by my STATs class, I randomly decided to make a command-line application that has binomial probability-related things in it.

It can:

• Solve $Pr(X = x)$ questions, including $\leq$, $\geq$, $<$, and $>$.
• Produce a binomial probability table with essential statistics like mean, variance, and standard deviation
• Produce a binomial probability distribution with different graph styles such as line graphs, bar graphs, and scatterplots.
  
  

What is Binomial Probability

Binomial probability is used to calculate the success ($\pi$)/failure ($1 - \pi$) in an event, or more generally the probability of something happening and not happpening.

There are certain conditions for an experiment/event to be binomial:

• Event can be summarized to two outcomes (i.e. $\pi$ and its complement).
• Trials ($n$) must be independent.
• Trials ($n$) must be fixed prior to data collection.
• Probability of success/target outcome ($\pi$) must stay constant.

The formula used is:

$$Pr(X=x)=\binom{n}{x}(\pi^x)(1-\pi)^{n-x}$$

Where:

• $n$ = Total number of independent trials
• $\pi$ = Probability of success/target outcome
• $x$ = Probability of x successes (i.e. the little x in $P(X = x)$ )
• $\binom{n}{x}$ = Combination formula
  
  

How to install

1. Make sure you installed Python 3.10 or higher (since it uses the new match case and type annotations).
2. Make sure these libraries are installed:

   pip install typing
   pip install tabulate
   pip install numpy
   pip install pandas
   pip install matplotlib
   pip install seaborn
   

3. Click the latest version on the Releases section and download the source code. Alternatively, click the green code button and download as a ZIP (or you can clone it).
4. Run BinomialApp.py on your Python terminal or any Python IDE.
5. Enjoy!