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MANE 3351 - Manufacturing Engineering Analysis

Laboratory 6 Assignment

Assigned: October 20, 2025

Due: October 27, 2025 (before 9:30 AM)

Learning Goals

  1. Write user-defined scalar function in Python,
  2. Practice using GitHub Desktop to download and upload respositories.

Description

The purpose of this laboratory is the use of user-defined functions in Python.

For this lab you will write a function that evaluates the cumulative density function (CDF) of the logisitic distribution shown below.

\[ F(x)=\frac{\exp\left(\frac{x-\mu}{\sigma}\right)}{1+\exp\left(\frac{x-\mu}{\sigma}\right)} \]

where \(\sigma>0\), \(-\infty<\mu<\infty\), and \(-\infty< x<\infty\). Your user-defined function will accept three values: \(x\), \(\mu\) (mu) and \(\sigma\) (sigma) and returns the value of \(F(x)\).

Step 1

Edit the first cell (markdown), to update your personal information.

Step 2

In cell 2 (Python cell), define a scalar function to return a single value of \(F(x)\) defined in equation 1 above when provided the values of x, \(\mu\) and \(\sigma\). The function definition should be added in cell two below the comments to add function here.

Examples of user-defined functions have been provided in most, if not all, classroom Jupyter Notebook examples. A helpful resource for this step is Python User Defined Functions.

Step 3

Also in cell 2, add three code below the function declaration that allows users to input the values for \(x\), \(\mu\) and \(\sigma\). There will be a comment in the template Jupyter Notebook where this code should be inserted. Use the Python Code from Lecture 9 as an example.

Step 4

Also in cell 2, add code to call your function and store the result of the function call in variable F. Print the value of variable F.

Step 5

Run your program and enter 1.0 for the value of x, 2.0 for the value of \(\mu\), and 5.0 for the value of \(\sigma\).

Step 6

After running and testing your program, save the Jupyter Notebook. Upload your repository using GitHub desktop.