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Mathematics, 06.05.2020 08:40 Tcutety
This project requires writing computer code to generate random variables of various kinds and measure their probability distributions. 1. Generate a sequence of each of the following types of random variables, each sequence should be at least 10,000 points long.
(a) A binomial random variable. Let the number of Bernoulli trials ben 12. Recall that the binomial random variable is defined as the number of 1's in n trials for a Bernoulli (binary) random variable. Let the parameter p in the Bernoulli trials be p 0.5109.
(b) A Poisson random variable as a limiting case of the binomial random variable with p 0.0125 or less and n 80 or more while maintaining a np 1
(c) A type 1 geometric random variable with parameter p 0.09
(d) A (continuous uniform random variable in the range [-2, 5]
(e) A Gaussian random variable with mean u 1.3172 and variance 1.9236. (f An exponential random variable with parameter 1.37
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