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)
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Summary
| 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
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
I, the copyright holder of this work, hereby publish it under the following license:
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- You are free:
- 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 | 12:35, 5 January 2020 | | 576 × 432 (26 KB) | DLohmann | User created page with UploadWizard |
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