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Let the continuous random variable X have probability density function f(x) and cumulative distribution function F(x)....

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Basic Math

Let the continuous random variable X have probability densityfunction f(x) and cumulative distribution function F(x). Explainthe following issues using diagram (Graphs)

a) Relationship between f(x) and F(x) for a continuousvariable,

b) explaining how a uniform random variable can be used tosimulate X via the cumulative distribution function of X, or

c) explaining the effect of transformation on a discrete and/orcontinuous random variable

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