Question

Write a python code using a continuous random variable and using uniform distribution to output the expected weight of students in a class.

Answer 1

Code #1 : Creating Uniform continuous random variable

# importing library
from scipy.stats import uniform
  
numargs = uniform.numargs
a, b = 0.2, 0.8
rv = uniform (a, b)
  
print ("RV : \n", rv)   

Output :

RV :
scipy.stats._distn_infrastructure.rv_frozen object at 0x000002A9D9F1E708

Code #2 : Uniform continuous variates and probability distribution

mport numpy as np
quantile = np.arange (0.01, 1, 0.1)
  
# Random Variates
R = uniform .rvs(a, b, size = 10)
print ("Random Variates : \n", R)
  
# PDF
x = np.linspace(uniform.ppf(0.01, a, b),
uniform.ppf(0.99, a, b), 10)
R = uniform.pdf(x, 1, 3)

Output :

Random Variates :
[0.30819979 0.95991962 0.70622125 0.60895239 0.72550267 0.73555393
0.3757751 0.88295358 0.50726709 0.57936421]

Probability Distribution :
[0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]

print ("\nProbability Distribution : \n", R)

Code #3 : Graphical Representation.

import numpy as np
import matplotlib.pyplot as plt

distribution = np.linspace(0, np.minimum(rv.dist.b, 3))
print("Distribution : \n", distribution)

plot = plt.plot(distribution, rv.pdf(distribution))

Output :

Distribution :
[0. 0.02040816 0.04081633 0.06122449 0.08163265 0.10204082
0.12244898 0.14285714 0.16326531 0.18367347 0.20408163 0.2244898
0.24489796 0.26530612 0.28571429 0.30612245 0.32653061 0.34693878
0.36734694 0.3877551 0.40816327 0.42857143 0.44897959 0.46938776
0.48979592 0.51020408 0.53061224 0.55102041 0.57142857 0.59183673
0.6122449 0.63265306 0.65306122 0.67346939 0.69387755 0.71428571
0.73469388 0.75510204 0.7755102 0.79591837 0.81632653 0.83673469
0.85714286 0.87755102 0.89795918 0.91836735 0.93877551 0.95918367
0.97959184 1.