The discussion focuses on applying the Central Limit Theorem (CLT) to independent random variables, specifically 100 variables uniformly distributed over the interval (0,1). The mean of this distribution is 0.5, and the standard deviation is approximately 0.2887. Using the CLT, the sum of these variables can be approximated by a normal distribution, allowing for the calculation of the probability P(Σxi > 50) through standard normal distribution techniques.
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HallsofIvy said:Well, what have you tried? What are the mean and standard deviation of the uniform distribution over (0, 1)? What does the central limit theorem say about the distribution of the sum of samples?