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Law of Large Numbers and Gender Distribution: Simulate a family of four children by flipping a coin 4 times.

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Simulate a family of four children by flipping a coin 4 times, each flip of the coin represents one child in the family with male = tails, female = heads. Report the # of females in your simulated family. Now repeat this 30 times. When all the results are combined what is the proportion of females? Is the proportion the same in each of the individual families? Explain how this demonstrates the Law of Large Numbers.

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Solution Summary

A detailed, step-by-step solution is provided in the attached Excel spreadsheet. An appropriate graph with each family and the running average is included. A brief discussion of the law of large numbers theorem is also provided.

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