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There are two candidates A & B running for an office. Suppose that 60% of the voters in the country support candidate A. We pick an individual randomly. Define random variable X = 1, if the individual support candidate A, and X = 0 if the individual supports candidate B. Use the functions "for" and "sample" to draw 10,000 samples each of sample size 1000, from this binary variable. i) Run "for" function for i=1 to i = 10,000. Use "sample" to draw a sample of size 1000 from this binary population. ii) For each sample calculate the [(sample mean - true population mean)/SQRT (population variance/1000). Store the standardized sample mean in observation i of a vector. iil) In each case and show that as n increases the sample mean approaches the true population mean. Then draw the histogram of the vector.

There are two candidates A & B running for an office. Suppose that 60% of the voters in the country support candidate A. We pick an individual randomly. Define random variable X = 1, if the individual support candidate A, and X = 0 if the individual supports candidate B. Use the functions "for" and "sample" to draw 10,000 samples each of sample size 1000, from this binary variable. i) Run "for" function for i=1 to i = 10,000. Use "sample" to draw a sample of size 1000 from this binary population. ii) For each sample calculate the [(sample mean - true population mean)/SQRT (population variance/1000). Store the standardized sample mean in observation i of a vector. iil) In each case and show that as n increases the sample mean approaches the true population mean. Then draw the histogram of the vector.

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
Problem 1P
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Please do i), ii), iii) with R studio or show calculation steps, thank you. Do not randomly write wrong answers if don't know how to solve.
Q4) EXAMPLE WITH A BINARY RANDOM VARIABLE: turn in the printout There are two candidates A & B running for an office. Suppose that 60% of the voters in the country support candidate A. We pick an individual randomly. Define random variable X = 1, if the individual support candidate A, and X = 0 if the individual supports candidate B. Use the functions "for" and "sample" to draw 10,000 samples each of sample size 1000, from this binary variable. i) Run "for" function for i=1 to i = 10,000. Use "sample" to draw a sample of size 1000 from this binary population. ii) For each sample calculate the [(sample mean - true population mean)/SQRT (population variance/1000). Store the standardized sample mean in observation i of a vector. iil) In each case and show that as n increases the sample mean approaches the true population mean. Then draw the histogram of the vector.
Transcribed Image Text:Q4) EXAMPLE WITH A BINARY RANDOM VARIABLE: turn in the printout There are two candidates A & B running for an office. Suppose that 60% of the voters in the country support candidate A. We pick an individual randomly. Define random variable X = 1, if the individual support candidate A, and X = 0 if the individual supports candidate B. Use the functions "for" and "sample" to draw 10,000 samples each of sample size 1000, from this binary variable. i) Run "for" function for i=1 to i = 10,000. Use "sample" to draw a sample of size 1000 from this binary population. ii) For each sample calculate the [(sample mean - true population mean)/SQRT (population variance/1000). Store the standardized sample mean in observation i of a vector. iil) In each case and show that as n increases the sample mean approaches the true population mean. Then draw the histogram of the vector.
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