# import the library numpy as np
import numpy as np
# import the library matplotlib.pyplt as plt
import matplotlib.pyplot as plt

# set a seed for your calculations so that they are reproducible
x = np.random.seed (123456)

# generate 50 random integers from 1 to 50 using random.randint() and make a
# frequency histogram
x = np.random.randint (low = 1, high = 50, size = 50)
print (x)
plt.hist(x, bins = 5)
plt.show()

# generate 10000 random integers from 1 to 50 using random.randint() and make a
# frequency histogram
# compare with previous histogram
x = np.random.randint (low = 1, high = 50, size = 10000)
print (x)
plt.hist(x, bins = 5)
plt.show()

# generate 1000 floating point numbers uniformly distributed from 1 to 100 and make a
# frequency histogram
x = np.random.uniform (low = 1, high = 100, size = 1000)
print (x)
plt.hist(x, bins = 5)
plt.show()

# generate 1000 floating point numbers normally distributed about a mean of 50
# with a standard deviation of 5 and make a frequency histogram
x = np.random.normal (50, 5, size = 1000)
print (x)
plt.hist(x, bins = 5)
plt.show()

# generate 1000 floating point numbers normally distributed about a mean of 50
# with a standard deviation of 5 and make a density histogram; compare with frequency
# histogram
x = np.random.normal (50, 5, size = 1000)
print (x)
plt.hist(x, bins = 5, density = True)
plt.show()

# import random and set seed
import random
n = np.random.seed (123456)

# Simulate drawing a single ball; each ball has a number from from 1 to 50
x = np.random.randint (low = 1, high = 50)
print (x)

# Simulate drawing 100 balls and keep track of the number of balls
# that have a number less than 25
x = np.random.randint (low = 1, high = 50, size = 100)
print (x)
k = 25
count = 0
for i in x :
if i < k :
count = count + 1
print ("The numbers less than 25 are " + str(count))

# Calculate discrete probability that you will draw a ball with a number <25 using 10,000
# simulations
print (25/50*100)
print (f'the probability is 50%')

# Now suppose you are playing a game where you draw a ball. You win if you get a number
# <25 and lose otherwise. Write a function which draws a single ball and returns True
# if the number is <25 and false if it is >= 25
# Test out your function
x = np.random.randint (low = 1, high= 50)
print (x)
if x < 25 :
print (f'True')
else :
print (f'False')
x = np.random.randint (low = 1, high= 50)
print (x)
if x < 25 :
print (f'True')
else :
print (f'False')
x = np.random.randint (low = 1, high= 50)
print (x)
if x < 25 :
print (f'True')
else :
print (f'False')