Assignment 0

Setup

using Distributions, Plots, LaTeXStrings, LinearAlgebra, Statistics, Random

Q1

Install Julia following instructions in lecture notes/etc. and clone this repository so you can open the notebooks in this repository

Q2

Edit the markdown cell below to add some math text wit the Pythagorean theorem (e.g. \(x^2 + y^2 = z^2\))

(double click to enter your answer here)

Q3

Create a function which which takes the sides of the rectangle and calculates the hypotenuse (i.e., code up \(z(x,y) = \sqrt{x^2 + y^2}\)) and calculate \(z(3,4)\)

# Modify your code here.

Q4

Plot \(f(x) = x^2\) for a grid of 20 points of \(x \in [0,1]\). You can make a grid with range(0, 1, 20)

# Modify your code here.

Q3

Write a function that draws a 100 random normal variables (use randn(100)) and manually calculates the mean and variance. By manually I mean using sums/etc. to implement the standard formulas for mean and variance of your choosing.

# Modify your code here.