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February 15, 2019 07:26
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A quick statistics calculator over the number of items which fill a certain condition
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| #!/usr/bin/env python3 | |
| # | |
| # Filename: calculator.py | |
| # | |
| # Author: Simon Redman <simon@ergotech.com> | |
| # File Created: 14.02.2019 | |
| # Last Modified: Fri 15 Feb 2019 12:20:49 AM MST | |
| # Description: Return some statistics about the number of items filling | |
| # a specified condition | |
| # | |
| import argparse | |
| from itertools import combinations | |
| def probability(num_satisfying: int, num_total: int, ind_prob: float) -> float: | |
| items = range(1, num_total + 1) | |
| choices: int = len(list(combinations(items, num_satisfying))) | |
| return choices * ind_prob ** num_satisfying * (1 - ind_prob) ** (num_total - num_satisfying) | |
| if __name__ == "__main__": | |
| parser = argparse.ArgumentParser(description="Statistics calculator about the number of items filling a certain condition") | |
| parser.add_argument("--probability", type=float, default=0.1, | |
| help="Independent probability of the condition applying to each item (Default = 0.1)") | |
| parser.add_argument("--num-items", type=int, required=True, | |
| help="Total number of items being calculated over") | |
| args = parser.parse_args() | |
| items = range(1, args.num_items + 1) | |
| expectation = 0 | |
| total_prob = 0 | |
| for i in items: | |
| prob = probability(i, len(items), args.probability) | |
| expectation += prob * i | |
| total_prob += prob | |
| print("Probability of exactly {k} items of {n} satisfying is {prob:.5}".format( | |
| k = i, | |
| n = args.num_items, | |
| prob = prob,)) | |
| print("It is expected that {exp:.4} items of {n} will satisfy the condition".format( | |
| exp = expectation, | |
| n = args.num_items,)) | |
| print("The probability that at least one item satisfies the condition is {prb:.4}".format( | |
| prb = total_prob,)) |
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