A random sample of X,,X2, X3..,X, have mean E(X,)= µ and Var(X,)=o².Given the value of 5 Σ(x,-X -Σχ-η¿(x, - x} = - £x; -nX | to estimate the valuen k=!nk=1of o?. Determine the bias for this estimator B(5²)= E[S²]-o².%3D

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Answered: A random sample of X1,X,, X,...,X, have…

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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A professor grades on a curve by assigning C's to all scores from u- ; to u+%, B's to all scores from i+% to µ+ , and D's to all scores from u – * to µ – 5. Everyone who scores below a D gets an F, and everyone who scores above a B gets an A. a. If the scores are normally distributed with mean u and variance o², what percentage of students will receive each grade? Hint: convert to z-scores and use pnorm() to find probabilities (percentages) b. If the scores are uniformly distributed (continuous) from 0 to 100 what percentage will receive each grade? Hint: first determine the values of u and o for this distribution
1.9.18. Find the mean and the variance of the distribution that has the cdf x <0 0
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We have a large dataset which we denote by D1, with values x1, x2, x3, ..., xN. Its mean is denoted by m. We create a new dataset D2 as follows: x1-m, x2-m, x3-m, ..., xN-m (that is, we subtract the mean from every data point). Then we create a new dataset by dividing every value in D2 by number 5. (so note that we said D2, not D1). What is the mean of D3? Group of answer choices 5 m m/5 m/ 25

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A random sample of X1,X,, X,...,X, have mean E(X,)= µ and Var(X,)=o². Given the value of §² ¿(x, - x} = £x;-nX² | to estimate the value k=1 k=1 of o?. Determine the bias for this estimator B(S²)= E[S³]-o². %3D