ANDRISH DOLBOEB

#import math
import random
import numpy as np
import matplotlib.pyplot as plt
a = 0
b = 20
x = []
for i in range(20):
    x.append((20-0)*random.random()+0)
print (x)
bins = [0,2,4,6,8,10,12,14,16,18,20]
hist, bins = np.histogram(x, bins=bins)
width = np.diff(bins)
center = (bins[:-1]+bins[1:])/2
fig, ax = plt.subplots(figsize=(8,3))
ax.bar(center, hist, align='center',width=width)
ax.set_xticks(bins)
plt.show()
sigma = 2
mu = 0
k = 0
for i in range(100):
    x = 0
    for i in range(12):
        x = x+random.random()
    x = x - 6

    ksi = mu + sigma*x
    if ((ksi>=0) and (ksi<=2)):
        k += 1
print (k/100)
sigma = 2
mu = 1
k = 0
for i in range(100):
     x.append((100-0)*random.random()+0)
print (x)
    x = 0
    for i in range(12):
         x = x+random.random()
    x = x - 6
    teta = mu+ sigma*x
    ksi=math.exp(teta)
     if ((ksi>=-1) and (ksi<=1)):
        k += 1
print (k/100)
l = 0.5
k = 0
for i in range(100):
    a = random.random()
    x = -math.log(a)/l
    if ((x>=0) and (x<=1)):
        k += 1
print (k/100)