Question: R = 5 with probability 0.25, R = 0.25 with probability 0.25, R = 1 with probability 0.5. Find the arithmetic and geometric means of

R = 5 with probability 0.25, R = 0.25 with probability 0.25, R = 1 with probability 0.5.
Find the arithmetic and geometric means of the random variables R for per capita production in the above cases. Check that the arithmetic-geometric inequality holds in each case. Which describes a growing population?

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