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 What is a random variable? Over a sample space S, with a probability measure, random variable X is a real-valued function defined over the elements of S. What is a (cumulative) distribution function? The probability, expressed by a function F(x), that a random variable X will take on a value less than or equal to 'x': F(x) = P(X<=x) What is a probability density function? A function f(x), which integrated from 'a' to 'b' gives the probability that the corresponding random variable will take on a value on the interval from a to b. How are a distribution function and a probability density function related? The probability function is the derivative of the distribution function, and the distribution function F(x) is the integral from -∞ to 'x'. What is the integral of probability density function f(x) taken from -∞ to ∞ 1