Let R be a random variable giving the per capita production in a population with p.d.f. g(x)
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As in Exercises 37 and 38, the Central Limit Theorem for sums can be used to approximate the logarithm of a product even when the random variables multiplied together are continuous random variables. Find the normal distribution that approximates the logarithm of the population size P50 assuming that P0 = 1. You will need the indefinite integrals
to evaluate the expectation and variance of ln(R). Use the rule of thumb that most populations end up within two standard deviations from the mean to give a range of probable population sizes.
DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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