ISYE 6644 Week 2 Homework – Simulation and Modelling for Engineering and Science | Exam Questions and Answers | New Update 2026/2027 | Graded A+.

ISYE 6644 Week 2 Homework – Simulation and Modelling for Engineering and Science | Exam Questions and Answers | New Update 2026/2027 | Graded A+. Question 10 0 / 1 pts orrect Answer a. Normal Question 11 1 / 1 pts (Lesson 2.6: Simulating Random Variables.) BONUS: Suppose and are independent Uniform(0,1) random variables. (You can simulate these using the RAND() function in Excel, for instance.) Consider the nastylooking random variable where the cosine calculation is carried out in radians (not degrees). Go ahead and calculate . . . don't be afraid. Now, repeat this task 1000 times (easy to do in Excel) and make a histogram of the 1000 's. What distribution does this look like? ou Answered (a). This is the Box-Muller method to generate normal random variables. We'll learn much more about this later on. Here's some example Matlab code that works well... %Matlab code clear all;close all;clc; z_vec=zeros(1000,1); for i = 1:1000 u = rand: v = rand; z_vec(i)= sqrt(-2*log(u))*cos(2*pi*v); end nbins = 30; bins = linspace(-5,5,nbins); histogram(z_vec,bins) Of course, you can do this easily in R, Excel, Python etc. Correct! E[X] = xf(x) =(-1)(0.2) + (3)(0.8) = 2.2 So the answer is (d). E[X] = 2xf(x) =(-1)(0.2) + (3)(0.8) =2.2. So the answer is (d). Question 15 1 / 1 pts Correct! Question 14 1/1 pts By LOTUS, E[1/X²] = Jz(1/x2)f(x) dx = J 4xdx = 2. (d) By LOTUS, E[1/X2] = Jg(1/x2)f(x) dx = 4xdx = 2. Thank you for Purchasing this exam Study Guide. We provide high-quality academic materials to help students excel in exams. Our other Services include but not limited to: academic research, University & College assignments writing, essay writing, Online Classes, and research projects. Our services are reliable, affordable, and plagiarism-free. All the Best in your Exam. For more information; Contact us at: or 0R +254