29 Cumulative geometric probability (less than a value)#

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import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt 
import seaborn as sns
from scipy import stats, special

khanacademy

Cumulative geometric probability (less than a value) fig 1

p = 0.1

np.sum([(1 - p)**i* p for i in range(4)])

0.34390000000000004

1 - 0.9 ** 4

0.3439