Question

Program in python an example code for the random variable (Bernoulli distribution), where the user informs the data and parameters necessary to generate the cumulative distribution function (CDF.)

Answer 1

from scipy.stats import bernoulli as br 
import matplotlib.pyplot as plt
print("give the value's of  probability of getting success(0-1): ")
prob = float(input())

#find the statistical values
mean, variance, skewness, kurtosis = br.stats(prob, moments = 'mvsk')

#it will print the mean
print("mean = ", mean)

#it will print the variance 
print("Variance = ", variance)

#it will print the  Skewnes
print("Skewness = ", skewness)

# it will print the kurtosis
print("kurtosis = ", kurtosis)
 

output screen:

mean = br.mean(prob)

#get standard deviation
std = br.std(prob)

#plotting the cdf

z = [0, 1]
print("CDF = ", br.cdf(z, prob))

plt.scatter(z, br.cdf(z, prob), label = "CDF",marker='*',color='r')
plt.title("CDF")
plt.xlabel("Data point")
plt.ylabel("probability")
plt.legend()
plt.show()

output screen :

if you have any doubts regarding this question than feel free to ask .