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Ch: Estimating Random Variables Let X and Y be independent normal random variables with means Hx = 0, µy = 8 and standard deviation ơx = 3 and oy = 4. a. What are the mean and variance of X + Y? b. Simulate the distribution of X + Y and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of X + Y. (use R-code) c. What are the mean and standard deviation of 5X – Y/2?

Ch: Estimating Random Variables Let X and Y be independent normal random variables with means Hx = 0, µy = 8 and standard deviation ơx = 3 and oy = 4. a. What are the mean and variance of X + Y? b. Simulate the distribution of X + Y and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of X + Y. (use R-code) c. What are the mean and standard deviation of 5X – Y/2?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Ch: Estimating Random Variables Let X and Y be independent normal random variables with means Hx = 0, µy = 8 and standard deviation ox = 3 and oy = 4. a. What are the mean and variance of X + Y? b. Simulate the distribution of X + Y and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of X + Y. (use R-code) c. What are the mean and standard deviation of 5X – Y/2? d. Simulate the distribution of 5X – Y/2 and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of 5X – Y/2. (use R-code)
Transcribed Image Text:Ch: Estimating Random Variables Let X and Y be independent normal random variables with means Hx = 0, µy = 8 and standard deviation ox = 3 and oy = 4. a. What are the mean and variance of X + Y? b. Simulate the distribution of X + Y and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of X + Y. (use R-code) c. What are the mean and standard deviation of 5X – Y/2? d. Simulate the distribution of 5X – Y/2 and plot it. Add a normal pdf to your plot with mean and standard deviation to match the density of 5X – Y/2. (use R-code)
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