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# Generate probability distribution or smoothing plot from points containing probabilities

I have points which include the probability on the y-axis and values on the x-axis, like:

p1 =
[[0.0, 0.0001430560406790707],
[10.0, 6.2797052001508247e-13],
[15.0, 4.8114669550502021e-06],
[20.0, 0.0007443231772534647],
[25.0, 0.00061070912573869406],
[30.0, 0.48116582167944905],
[35.0, 0.24698643991977953],
[40.0, 0.016407283121225951],
[45.0, 0.2557158314329116],
[50.0, 1.1252231121357235e-05],
[55.0, 0.064666668633158647],
[60.0, 1.7631447655837744e-17],
[65.0, 1.1294722466816786e-14],
[70.0, 2.9419020411134367e-16],
[75.0, 3.0887653014525822e-17],
[80.0, 4.4973693062706866e-17],
[85.0, 9.0975358174005147e-15],
[90.0, 1.0758266454985257e-10],
[95.0, 7.2923752473657924e-08],
[100.0, 1.8065366882584036e-08]]

p2 =
[[0.0, 4.1652247577331996e-06],
[10.0, 1.2212829713673957e-06],
[15.0, 6.5906857192417344e-08],
[20.0, 0.00016745946587138236],
[25.0, 0.0054431111796765554],
[30.0, 0.0067575214586160616],
[35.0, 0.00011856110316632124],
[40.0, 0.00032181662132509944],
[45.0, 0.001397981055516994],
[50.0, 0.0027058954834684062],
[55.0, 2.553142406703067e-06],
[60.0, 1.1514033594755017e-08],
[65.0, 0.21961568282994792],
[70.0, 2.4658349829099807e-08],
[75.0, 0.0022850986575076743],
[80.0, 3.5603047823624507e-06],
[85.0, 0.99406392082894734],
[90.0, 0.24399923235645221],
[95.0, 0.0013470125217945798],
[100.0, 0.042582366972883985]]

Now I want to generate a probability distribution from the points, where the x-axis values are (0,10,15,20,…,100) and the y-axis values contain the probabilities (0.00014,….)

When using the plt.plot fuction I get:

plt.plot([item[0] for item in p1],[item[1] for item in p1])

And for p2:

plt.plot([item[0] for item in p2],[item[1] for item in p2])

I want to get a more smooth visualization, like a probability distribution:

And if a probability distribution is not possible, then a smoothing spline:

Categories

# Generate probability distribution or smoothing plot from points containing probabilities

I have points which include the probability on the y-axis and values on the x-axis, like:

p1 =
[[0.0, 0.0001430560406790707],
[10.0, 6.2797052001508247e-13],
[15.0, 4.8114669550502021e-06],
[20.0, 0.0007443231772534647],
[25.0, 0.00061070912573869406],
[30.0, 0.48116582167944905],
[35.0, 0.24698643991977953],
[40.0, 0.016407283121225951],
[45.0, 0.2557158314329116],
[50.0, 1.1252231121357235e-05],
[55.0, 0.064666668633158647],
[60.0, 1.7631447655837744e-17],
[65.0, 1.1294722466816786e-14],
[70.0, 2.9419020411134367e-16],
[75.0, 3.0887653014525822e-17],
[80.0, 4.4973693062706866e-17],
[85.0, 9.0975358174005147e-15],
[90.0, 1.0758266454985257e-10],
[95.0, 7.2923752473657924e-08],
[100.0, 1.8065366882584036e-08]]

p2 =
[[0.0, 4.1652247577331996e-06],
[10.0, 1.2212829713673957e-06],
[15.0, 6.5906857192417344e-08],
[20.0, 0.00016745946587138236],
[25.0, 0.0054431111796765554],
[30.0, 0.0067575214586160616],
[35.0, 0.00011856110316632124],
[40.0, 0.00032181662132509944],
[45.0, 0.001397981055516994],
[50.0, 0.0027058954834684062],
[55.0, 2.553142406703067e-06],
[60.0, 1.1514033594755017e-08],
[65.0, 0.21961568282994792],
[70.0, 2.4658349829099807e-08],
[75.0, 0.0022850986575076743],
[80.0, 3.5603047823624507e-06],
[85.0, 0.99406392082894734],
[90.0, 0.24399923235645221],
[95.0, 0.0013470125217945798],
[100.0, 0.042582366972883985]]

Now I want to generate a probability distribution from the points, where the x-axis values are (0,10,15,20,…,100) and the y-axis values contain the probabilities (0.00014,….)

When using the plt.plot fuction I get:

plt.plot([item[0] for item in p1],[item[1] for item in p1])

And for p2:

plt.plot([item[0] for item in p2],[item[1] for item in p2])

I want to get a more smooth visualization, like a probability distribution:

And if a probability distribution is not possible, then a smoothing spline: