Answered: Given: f(x) = { |2x-y|/10 ; x=1,2, y =…

Given: f(x) = { |2x-y|/10 ; x=1,2, y = 1,2,3,4 0;ew] (i) Find the mean and variance of W1 = x-3y (ii) Find the covariance between W1 and W2 = 2x+2y

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Question

Given:

f(x) = { |2x-y|/10 ; x=1,2, y = 1,2,3,4

0;ew]

(i) Find the mean and variance of W1 = x-3y

(ii) Find the covariance between W1 and W2 = 2x+2y

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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