4.a) Given a fair die, let X be the random variable denoting the result when the die is rolled. Find (i) E(X), (ii) E(X²), and (iii) V(X). b) Roll a fair die 30 times; the outcomes of these rolls are assumed to be independent. Use the central limit theorem to approximate the probability that a total > 110 is obtained. Use common sense to figure out how to do continuity correction (not using continuity correction will lose points).

4.a) Given a fair die, let X be the random variable denoting the result when the die is rolled. Find (i) E(X), (ii) E(X²), and (iii) V(X). b) Roll a fair die 30 times; the outcomes of these rolls are assumed to be independent. Use the central limit theorem to approximate the probability that a total > 110 is obtained. Use common sense to figure out how to do continuity correction (not using continuity correction will lose points).

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Description: 4.a) Given a fair die, let X be the random variable denoting the result when the die is rolled. Find(i) E(X), (ii) E(X²), and (iii) V(X).b) Roll a fair die 30 times; the outcomes of these rolls are assumed to be independent. Use the centrallimit the

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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4.a) Given a fair die, let X be the random variable denoting the result when the die is rolled. Find
(i) E(X), (ii) E(X²), and (iii) V(X).
b) Roll a fair die 30 times; the outcomes of these rolls are assumed to be independent. Use the central
limit theorem to approximate the probability that a total > 110 is obtained. Use common sense to figure
out how to do continuity correction (not using continuity correction will lose points).

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