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MANE 3351 - Manufacturing Engineering Analysis

Laboratory 7 Assignment

Assigned: October 27, 2025

Due: November 3, 2025 (before 9:30 AM)

Learning Goals

  1. Vectorize function,
  2. Create arrays using Numpy, and
  3. Generate a graph using Matplotlib.

Description

This lab will utilize the user-defined for the CDF of the logistic distribution created in Laboratory 6 to cover vectorizing functions, creating arrays using Numpy and generating a figure created with Matplotlib. The Python code contained in your starter repository is provide at the bottom of this assignment.

Step 1

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

Step 2

In cell two below the comment for step 2, enter the user-defined function created in Lab Six that calculates the CDF of the logistic distribution. The function should accept three inputs: x, mu and sigma.

Step 3

In cell two below the step 3 comment line, create the a vectorized version of the user-defined function created for Step 2. Vectorized functions were presented in Lecture 11 of the class notes.

Step 4

In cell two below the comment for step 3, create an array named x using the Numpy linspace function that creates an array containing 500 points from -10 to +10.

Step 5

In cell two below the step 5 comment line, create the array containing values for the CDF of the logistics distribution with parameters: mu=2.0, and sigma=5.0 using the values of stored in x (created in Step 4) using the vectorized function created in Step 3.

Step 6

Step should not require any modifications of your code to produce a graph based upon Steps 2-7 above.

Step 7

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

import math
import numpy as np
import matplotlib.pyplot as plt

# Step 2 - insert the user-defined function from Lab Six that calculates the CDF of the logistic distribution below this line


# Step 3 - Insert the Python command(s) to vectorize your user-defined function from Step 1


# Step 4 - create array containing 500 points (using the linspace Numpy command) for values of x from -10 to +10

x=

# Step 5 - create the array y using the vectorized CDF for the logistic distribution with mu=2.0 and sigma=5.0 created in Step 2

y=

# Step 6 - using the code below to create a graph of the data created in Steps 3 and 4

plt.plot(x,y,'b')
plt.show()