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R Programming A-Z™ © Kirill Eremenko LAW OF LARGE NUMBERS Homework Exercise

LAW OF LARGE NUMBERS - Amazon Web Services · 2019-02-27 · Test the Law Of Large Numbers for N random normally distributed numbers with mean = 0, stdev = 1: Create an R script that

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R Programming A-Z™ © Kirill Eremenko

LAW OF LARGE NUMBERSHomework Exercise

R Programming A-Z™ © Kirill Eremenko

LLN

R Programming A-Z™ © Kirill Eremenko

10: 7 / 3 70% / 30%100: 52 / 48 52% / 48%

1000: 502 / 498 50.2% / 49.8%…

R Programming A-Z™ © Kirill Eremenko

NORMAL DISTRIBUTION

R Programming A-Z™ © Kirill Eremenko

Test the Law Of Large Numbers for N random normally distributed numbers with mean = 0, stdev = 1:

Create an R script that will count how many of these numbers fall between -1 and 1 and divide by the total quantity of N

You know that E(X) = 68.2%

Check that Mean(XN) -> E(X) as you rerun your script while increasing N

R Programming A-Z™ © Kirill Eremenko

HINT #1

R Programming A-Z™ © Kirill Eremenko

for(i in rnorm(100)){#…

}

R Programming A-Z™ © Kirill Eremenko

HINT #2

R Programming A-Z™ © Kirill Eremenko