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8. Suppose that X and Y are means from two large (larger than 30) independent samples E(X)= 106; Var (X)= 16; E(Y)-98; Var(Y) =9. Based on the Central Limit Theorem, we can say that P(X-Y>10) is approximately: (A) 0.3446 (B) 0.2236 (C) 0.4681 (D) 0.3859 (E) 0.0228

8. Suppose that X and Y are means from two large (larger than 30) independent samples E(X)= 106; Var (X)= 16; E(Y)-98; Var(Y) =9. Based on the Central Limit Theorem, we can say that P(X-Y>10) is approximately: (A) 0.3446 (B) 0.2236 (C) 0.4681 (D) 0.3859 (E) 0.0228

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
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Answer is A 8. Suppose that X and Y are means from two large (larger than 30) independent samples E(X)= 106; Var (X) = 16; E(Y) =98; Var(Y) = 9. Based on the Central Limit Theorem, we can say that P(X-Y>10) is approximately: (A) 0.3446 (B) 0.2236 (C) 0.4681 (D) 0.3859 (E) 0.0228
Transcribed Image Text:Answer is A 8. Suppose that X and Y are means from two large (larger than 30) independent samples E(X)= 106; Var (X) = 16; E(Y) =98; Var(Y) = 9. Based on the Central Limit Theorem, we can say that P(X-Y>10) is approximately: (A) 0.3446 (B) 0.2236 (C) 0.4681 (D) 0.3859 (E) 0.0228
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Can you explain why it is you added V(X-Y) = V(X) + V(Y) = 16 + 9 =25? What is the reasoning behind it? What if it was V(X+Y)? Would you then do the opposite and subtract

= V(X) - V(Y) = 16 - 9 = 7? 

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