probability-distribution - Probability Distribution Probability Distribution In this lecture we describe the discrete probability distributions and the

# probability-distribution - Probability Distribution...

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Probability Distribution
Probability Distribution In this lecture, we describe the discrete probability distributions and the continuous probability densities that occur most often in the analysis of experiments. Probability distributions are functions that assign probabilities to each value x of the random variable X. probability function of X i.e. f(x).
Probability Distribution For a discrete random variable, the probability distribution is called the probability mass function (pmf). For a continuous random variable, it is called the probability density function (pdf).
Probability Distribution The pmf, f(x), of a discrete random variable X satisfies the following properties: ? ≤ 𝒇 𝒙 ≤ ? 𝒇 𝒙 = ? 𝒙 where the summation is over all values of x with nonzero probability.
Example Suppose we have a sample of two voters who could support Mr. O or Mr. M The sample space S = {OO;OM;MO;MM}. Let's assume that the probability that a voter supports O is given by Pr( 𝑣 𝑖 = o) = o.

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• Spring '17