import random
import math

student_numer =
student_name =

def rollDie(faces):
# module to roll a single die with a variable number of faces
# ASSUME faces is a valid positive integer, greater than 1
return random.randint(1, faces)

def validateInt(min, max, prompt):
# ASSUME min and max are valid positive integers, and that min < max
number = min - 1
while number < min or number > max:
   value = input(prompt)
   if value.isdecimal():
         number = int(value)
         if number > 0:
            if number < min or number > max:
               print('I\'m sorry, that isn\'t in the range {0} to {1}, please try again'.format(min, max))
               pass
            pass
         else:
            print('I\'m sorry, that isn\'t a valid positive integer, please try again')
            pass
         pass
   else:
         print('I\'m sorry, that isn\'t a valid positive integer, please try again')
         pass
   pass
return number

def validateStr(prompt, listOfChoices):
# assume prompt is a String and listOfChoices is a list of Strings.
unmatched = True
a_string = ' '
while unmatched:
   a_string = input('{0} {1} '.format(prompt, listOfChoices))
   a_string = a_string.lower()
   for item in listOfChoices:
         if item == a_string:
            unmatched = False
            pass
         pass
   if unmatched:
         print('I\'m sorry, the choices are {0} . Please pick one of them.'.format(listOfChoices))
         pass
   pass
return a_string

def average(inList):
# ASSUME inList is a list of numbers and the length of inList is > 0
total = sum(inList)
avg = total / float(len(inList))
return round(avg, 0)

def calculatePercentage(sides, dice, diceRolls):
# ASSUME sides*dice != 0, sides, dice are numbers
# ASSUME diceRolls is a list of numbers
max_score = sides * dice
percent = float(max_score)/ float(sum(diceRolls))
return percent

def isPrime(number):
# ASSUME number is an integer
square = int(math.sqrt(number))
n = 3
while n <= square:
   if number % n == 0:
         return False
   n = n + 2
   pass
return True

def pattern1(sides, dice):
# ASSUME sides > 0 and dice is a list of integers
# all dice have the same value # of sides >= 4
if sides < 4:
   print('Pattern 1 not matched in your roll, {0} ... # of sides < 4.'.format(dice))
   return 0
sample = dice[0]
for item in dice:
   if item != sample

1.1.1 Use scipy.integrate.romberg to evaluate the triple integral...