Problem 44951. Verify Law of Large Numbers

Created by Pooja Lalan

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If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,...N i.e. the expected value of one die. For example, the expected value of a 6-sided die is 3.5.

Given N, simulate 1e8 N-sided dice rolls by creating a vector of 1e8 uniformly distributed random integers. Return the difference between the mean of this vector and the mean of integers from 1 to N.

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889 Solutions
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Last Solution submitted on Dec 10, 2019

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David Motson on 12 Nov 2019 at 13:27

The solution quits because it's taking too long. 1e8 is too many?

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Solution 2015845

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David Motson on 12 Nov 2019 at 13:44

I discovered using a for loop doesn't work - too slow. Then I realised that randi can generate the required vector, doh!

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rand random integers

Problem 44951. Verify Law of Large Numbers

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Last 200 Solutions

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Problem Recent Solvers166

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Problem 44951. Verify Law of Large Numbers

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Last 200 Solutions

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Problem Recent Solvers166

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