File:Histogram sum of length 3 permutations of 1 2 3.svg
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Size of this PNG preview of this SVG file: 576 × 432 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,560 × 1,920 pixels.
Original file (SVG file, nominally 576 × 432 pixels, file size: 35 KB)
Summary
| Description |
English: Bar graph depicting the probability mass function of X, where X is the sum of 3 discrete random variables uniformly selected from the set {1, 2, 3}. |
| Date | |
| Source | Own work |
| Author | DLohmann |
Python code
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)
This was made using Python 3.
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- 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.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:35, 5 January 2020 | | 576 × 432 (35 KB) | wikimediacommons>DLohmann | User created page with UploadWizard |
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