Description
Overview: In this week, you have studied additional Python language syntax including selection statements, control statements and functions The Lab for this week demonstrates your knowledge of this additional Python functionality.
You should continue to use the PEP Python Style guide mentioned in the book and found here:
https://www.python.org/dev/peps/pep0008/
Some examples of Python Coding Style best practices include:
Limit all lines to a maximum of 79 characters.
Imports are always put at the top of the file, just after any module comments and before module
globals and constants.
Use 4 spaces for indentation.
Submission requirements for this project include 3 files. (Zipping them into one file is acceptable and encouraged):
Python Pick3, Pick4 lottery Application Code
Python Math Function Data Generator Application Code
Word, Excel or PDF file containing your test and plot results
Python Applications for Lab1: (total 100 points):
This lab consists of two parts.
The first exercise (40 points) allows the user to use a menu to select and then generate pick3 or pick4 lottery number generator. Once the user makes their choice, the lottery number will be generated and displayed for the user to see. The allowed number for each digit are 0 – 9. You should generate each digit and then concatenate the digits to form the 3 or 4pick resultant number.
The application should continue to run until the user indicates they don’t want to generate any additional lottery numbers. A sample run might look like this.

Welcome to the Pick3, Pick4 lottery number generator *********
Select from the following menu:


Generate 3Digit Lottery number



Generate 4Digit Lottery number



Exit the Application

1
You selected 1. The following 3digit lottery number was generated:
035
Select from the following menu:
1

Generate 4Digit Lottery number

Exit the Application
2
You selected 2. The following 4digit lottery number was generated:
1489
Select from the following menu:

Generate 3Digit Lottery number

Generate 4Digit Lottery number

Exit the Application
3
You selected 3.
Thanks for trying the Lottery Application.
*********************************************************
Hints:

Use Sentinel while loop

How can you verify that each digit has the fullrange of values 09

Create and use functions as often as possible

Use comments to document your code
The second exercise (40 points) produces x,y values using Python math functions. The results of these function calls will be used as input to another program of your choice for plotting the results. The plots can be made using Excel, Octave, or any other online or other graphing tool you have available.
The Math functions and values range of xvalues are described below:

Generate x, sin(x) for x values ranging from 2PI > 2PI with an increment of PI/64

Generate x, cos(x) for x values ranging from 2PI > 2PI with an increment of PI/64

Generate x, sqrt(x) for x values ranging from 0 > 200 with an increment of 0.5

Generate x, log10(x) for x values ranging from 0 > 200 with an increment of 0.5
Since we aren’t using Python File I/O yet, you will need to use standard I/O and perhaps even copy and paste the output of the Python application to your graphing tool. Be sure both x and f(x) values are provided as input to the tool.
For graphing, provide the following graphs:

One graph with both x, sin(x) and x, cos(x) displayed. Be sure to include, a title, legends and x and y axis labels.
2

One graph with both x, sqrt(x) and x, log10(x) displayed. Be sure to include a title, legends and x and y axis labels.
Hints:


Use the Python Math library



print() statements will allow you to display the, x, f(x) results



Create and use functions as often as possible



Use comments to document your code


Document your results for each application within programming environment. Provide screen captures and descriptions for each test case you provide for your lottery generator. Provide at least 5 test cases. For the Math data generator, provide tables clearly showing the x, f(x) data points generated from your Python application. In addition, include your two graphs as described above. (20 points)
Any submissions that do not represent work originating from the student will be submitted to the Dean’s office and evaluated for possible academic integrity violations and sanctions.
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