File:Histogram sum of length 1 permutations of 1 2 3.svg

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Original file ‎(SVG file, nominally 576 × 432 pixels, file size: 26 KB)

Captions

Captions

Sum of all permutations of length 1 selected from the set of integers 1, 2, 3

Summary[edit]

Description
English: Bar graph depicting the probability mass function of X, where X is a discrete random variable uniformly selected from the set {1, 2, 3}.
Date
Source Own work
Author DLohmann


Python code[edit]

from itertools import product
from matplotlib import pyplot as plt
import numpy as np

def plot_sums(num_terms):
  l = list(product(np.arange(1, 4), repeat=num_terms))
  sums = list(map(sum, l))
  bins = np.bincount(np.array(sums))
  plt.title("Sums of all possible permutations of 1, 2, 3 of length " + str(num_terms) + " elements")
  plt.xlabel("Sum of permutation")
  plt.ylabel("Number of permutations")
  plt.grid(axis="y",zorder=0)
  plt.locator_params(axis='both', integer=True)
  plt.xlim(0, max(4, bins.argmax()*2))
  plt.bar(np.arange(len(bins)), bins, zorder=2)
  plt.savefig("Histogram sum of length " + str(num_terms) + " permutations of 1 2 3.svg")

plot_sums(1)

plt.clf()
plot_sums(2)

plt.clf()
plot_sums(3)

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current12:35, 5 January 2020Thumbnail for version as of 12:35, 5 January 2020576 × 432 (26 KB)DLohmann (talk | contribs)User created page with UploadWizard

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