Requirements For The Following Problem Each Module Must Be W

Requirementsfor The Following Problem Each Module Must Be Written In

Requirements For the following problem: - Each module must be written in Python and submitted as an executable .py file (NOT the Jupyter notebook file) - Each module must have header comments at the top of the program that include: o The Course o The assignment number o The submission or creation date o The author’s name - Comments should be used to help explain your code if it may need explanation Question 1 Write a module that simulates the rolling of 1 or more dice, then compare the theoretical with the actual results. - The user must be asked how many dice will be used in the simulation. The number of dice should be between 1 and 16 inclusive. Your code should validate the user entry. - The user must be asked for the number of rolls of the dice to simulate. Your code should validate the user entry to be a positive integer with a minimum value of 1. - Your program must count the number of times each total of the dice faces appears. For example, if you have 3 dice, you will count the number of times 3, 4, 5, …. 18 appears. - Your program must display a list of values representing the percentage of the total that each total appears, the theoretical likelihood, and the percentage error between the two values. The name of the file must be of the form: FirstName_LastName_A02_Q1.py, where FirstName and LastName are your first name and last name respectively. (continued on next page…) Question 2 Write a module that counts the number of times each word appears in paragraph. - The user must be able to enter a number of sentences. You can assume that each sentence ends in a period. (No other punctuation needs to be considered.) You may use any mechanism you wish to enter the sentences. However, you must explicitly tell the user what they need to do when entering. - When the user finishes entering the sentences, the program displays each unique word found in the paragraph, along with a count of how many times that word appears. The list must be displayed in alphabetical order. - Unique words are not case sensitive. For example, ‘House’ and ‘house’ are considered the same. The name of the file must be of the form: FirstName_LastName_A02_Q2.py, where FirstName and LastName are your first name and last name respectively.

Paper For Above instruction

This paper addresses two programming modules designed for educational purposes, focusing on core Python functionalities and data analysis. The first module simulates dice rolls to compare experimental outcomes with theoretical probabilities, while the second analyzes text input to count word frequencies. Both modules are designed with validation mechanisms to ensure accurate user input and produce insightful output, fostering understanding of probability, combinatorics, and basic text processing in Python.

Module 1: Dice Roll Simulation and Probability Analysis

This module, named according to the specified convention (FirstName_LastName_A02_Q1.py), begins with header comments providing course details, assignment number, date, and author’s name. Its objective is to simulate rolling a user-defined number of dice multiple times and compare the experimental distribution of sums with their theoretical probabilities. The program prompts the user for the number of dice, constrained between 1 and 16, and for the number of rolls, which must be a positive integer greater than zero. Input validation ensures correctness and robustness.

The simulation utilizes Python’s random library to generate dice rolls. For each roll, the program sums the outcomes of the specified number of dice and tallies occurrences in a dictionary that tracks counts for all possible sums. After completing all simulations, the program calculates observed percentages for each total and compares them to the respective theoretical likelihoods derived from combinatorial calculations.

The theoretical probability of each total is computed using the multinomial distribution principles, considering the number of dice and possible outcomes per die. The program then computes the percentage error between observed and expected values, providing insight into the convergence of simulation and theory. Finally, these results are displayed in a tabular format, including totals, observed percentages, theoretical probabilities, and percentage errors.

Module 2: Word Frequency Counter

The second module, appropriately named (FirstName_LastName_A02_Q2.py), prompts the user to specify how many sentences they wish to input, explicitly instructing them to end each sentence with a period. After gathering all sentences, the program processes the text by converting it to lowercase and removing extraneous punctuation, focusing solely on alphabetic words.

The program extracts individual words from the sentences, counts their occurrences, and stores these counts in a dictionary. To produce an organized output, the dictionary keys are sorted alphabetically. The program then prints each unique word alongside its count, offering a clear presentation of word frequency within the entered paragraph.

This module emphasizes case insensitivity and straightforward text processing to demonstrate fundamental string manipulation and data analysis in Python. It also reinforces user input validation and clean data handling practices, essential skills for programming in a variety of real-world contexts.

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