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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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.
Transcribed Image Text: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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