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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Let U be a Standard Uniform random variable. Show all the steps required to generate
(a) an Exponential random variable with the parameter λ = 2.5;
(b) a Bernoulli random variable with the probability of success 0.77;
(c) a Binomial random variable with parameters n = 15 and p = 0.4;
(d) a discrete random variable with the distribution P(x), where P(0) = 0.2, P(2) = 0.4, P(7) = 0.3, P(11) = 0.1;
(e) a continuous random variable with the density f(x) = 3x2, 0
(f) a continuous random variable with the density f(x) = 1.5x2, −1
(g) a continuous random variable with the density ![]()
If a computer generates U and the result is U = 0.3972, compute the variables generated in (a)–(g).
Â
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