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. a) What is the expected value of X. b) Use the sample function to draw three random samples of sizes, 10, 1000 and 1000,000 from this binary variable. Calculate the sample mean in each case and show that as n

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. a) What is the expected value of X. b) Use the sample function to draw three random samples of sizes, 10, 1000 and 1000,000 from this binary variable. Calculate the sample mean in each case and show that as n

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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Question

Please do a) and b) with R studio or show calculation steps, thank you. Do not randomly write wrong answers if don't k ow how to solve.

Q1) 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.
a) What is the expected value of X.
b)
Use the sample function to draw three random samples of sizes, 10, 1000 and 1000,000
from this binary variable. Calculate the sample mean in each case and show that as n
increases the sample mean approaches the true population mean.
Reminder: The "SAMPLE" function in R:
SAMPLE (c(.) # possible values of RV; size = # sample size; replace = TRUE # with replacement;
prob = c(.) # probabilities).

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