In: Math
Let the continuous random variable X have probability density function f(x) and cumulative distribution function F(x). Explain the following issues using diagram (Graphs)
a) Relationship between f(x) and F(x) for a continuous variable,
b) explaining how a uniform random variable can be used to simulate X via the cumulative distribution function of X, or
c) explaining the effect of transformation on a discrete and/or continuous random variable