(Solution) - Ri 4 with probability 0 5 Ri 0 25 with -(2025 Original AI-Free Solution)

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Ri = 4 with probability 0.5, Ri = 0.25 with probability 0.5. Find the probability that P50 lies between 1 and 10000.
In a population growing by reproduction, the logarithm of population size can be approximated using the normal distribution and the Central Limit Theorem. Consider populations growing for the given number of years with the given distribution for the random variable R giving per capita production. Find the probability that the population size Pt lies in the given range assuming that P0 = 100.