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# note07 - Section 2.4 Random Variables Random Variable a...

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Section 2.4: Random Variables Random Variable a mapping from the sample space to the real line It assigns a numerical value to each outcome in a sample space. It is customary to denote random variables with capital letters: X , Y etc. Use lowercase letters, x , y etc., to denote the values of random variables take. e.g.) For a toss of a coin, S = { H,T } . Let X = 0 if head(H) comes up 1 it tail(T) comes up X is a random variable. Types of Random Variables Discrete : can take only a countable number of distinct values e.g.) # of children in a family, the population size of a city, # of cars passing an intersection in a min Continuous : takes on values on a continuous interval e.g.) height, diameter of a disc, the amount of electricity used in a month Probability Distributions for Discrete Random Variable The probability distribution (pd) or probability mass function (pmf) of a discrete random variable X is given the function p ( x ) = P ( X = x ).

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note07 - Section 2.4 Random Variables Random Variable a...

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