QMS 102 Chapter Notes - Chapter 6: Random Variable, Binomial Distribution, Mathematical Constant
2 Jan 2018
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Probability distribution for a discrete random variable: mutually exclusive listing of all possible numerical outcomes along with the probability of occurrence of each outcome. Random variable: a variable whose value is determined by the outcome of a random experiment, symbol: x. Discrete random variable: a random variable whose possible values are discrete (clearly separated individual values) Discrete probability distribution: a table or formula that shows the probability associated with each possible value of a discrete random variable. Expected value: the mean of a probability distribution. Expected value of a discrete random variable: = e(x) = xip(xi) Mean or expected value: = e(x) = xp(x) Variance formula: o2 = (x - )2 p(x) Standard deviation formula: o = ( (x - )2 p(x)) Variance of a discrete random variable: o2 = (xi - e(x))2 p(xi) Xi - the ith outcome of the discrete random variable x. P(xi) - probability of occurrence of the ith outcome of x.
