1. This assignment must be created as a Quarto document in RStudio, Rendered to

1. This assignment must be created as a Quarto document in RStudio, Rendered to PDF.
a) Begin by creating a brand new Quarto file. Set your name to your full (registered in the course) name and student number (e.g., “Jane Smith – 0612345”) and the title to “MATH 1051H – R Assignment
Save your Quarto file to a file name without any spaces in it (suggestion: 1051H_r3.qmd).
This is specifically for grading ease, and not something you would normally do in a lab report or document made with Quarto. Just before each of the ## headers (see below, Questions instructions), place the following command:
newpage
So it would look something like: … end of the previous question … newpage
## Start of the Next Question
This will break your work up so each question starts at the top of a page, and make it easier to upload to CrowdMark and split into the question boxes, and easier to grade. If you deleted those lines, it would make a normal(er) document.
2. Normal Density Plotting
In this question, you will explore the creation of normal density plots, as graphical aides for solving problems in normal probability.
a) Write the code required to create a neat, annotated, complete standard normal density, with x-axis limits running from x=-3.5 to x=3.5. Include the x-axis line, and a labeled, coloured vertical line at z0 = -1.2.
b) add a secondary x-axis to the plot from (a), showing the X values that correspond to the Z values of the first axis, if X were a Normal with mean 40 and standard deviation 10.
c) Write a concluding sentence explaining how you would use this plot to help you understand and solve normal probability and quantile problems.

3. Normal Problem Solving
Write the code to solve and explain (in words) the interpretation of the two mathematical statements in the 1st question of your WeBWorK R-Assign3 (compute probabilities).
4. Normal Problem Solving, Z Values
Write the code to solve and explain (in words) the interpretation of the two mathematical statements in the 2nd question of your WeBWorK R-Assign3 (compute Z quantiles).
5. Normal Problem Solving, X Values
Write the code to solve and explain (in words) the interpretation of the mathematical statement in the 3rd question of your WeBWorK R-Assign3 (compute X quantiles).