1. An unbalanced die was rolled 5000 times; that is, the sample of outcomes s was generated via s ← RE₁ (5000), where RE₁ = "roll the die once." Let X = "number of up-dots." It turned out that the sample mean was x = mean (X:s) = 3.08 and the sample standard deviation was s = sd(X:s) = 1.55. In addition, 1200 (or 24%) of the 5000 rolls resulted in more than 4 up-dots; i.e., ô(s) = prop(X > 4) = 0.24. (a) By what fundamental result can we expect the sample distribution dist(X:s) to be close to the process distribution dist (X: RE₁)? (b) By what fundamental result can we expect mean(X:s) to be close to mean(X: RE₁) and prop(X > 4) to be close to PRE₂ (X > 4)? (c) What is your best guess at (d) What is your best guess at sd(X: RE₁) and why? PRE₁ (X ≤ 4) and why?
1. An unbalanced die was rolled 5000 times; that is, the sample of outcomes s was generated via s ← RE₁ (5000), where RE₁ = "roll the die once." Let X = "number of up-dots." It turned out that the sample mean was x = mean (X:s) = 3.08 and the sample standard deviation was s = sd(X:s) = 1.55. In addition, 1200 (or 24%) of the 5000 rolls resulted in more than 4 up-dots; i.e., ô(s) = prop(X > 4) = 0.24. (a) By what fundamental result can we expect the sample distribution dist(X:s) to be close to the process distribution dist (X: RE₁)? (b) By what fundamental result can we expect mean(X:s) to be close to mean(X: RE₁) and prop(X > 4) to be close to PRE₂ (X > 4)? (c) What is your best guess at (d) What is your best guess at sd(X: RE₁) and why? PRE₁ (X ≤ 4) and why?
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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