STA 3033 Chapter 5: STA3033 Discrete Probability and Distributions
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Random variable: real-valued function whose domain is a sample space. Often denoted as an upper case (e. g. x,y, ). Discrete random variable: a random variable x is said to be discrete if it can take only finite number, or countable infinite numbers, of possible values x. Probability function: p(x) is a probability function of. X, provided that: ( ) ( ) for all value of x. If x is discrete, ( ) probability function. It"s also known as the cumulative distribution function. The random variable x, denoting the number of relays closing properly has the probability distribution given below. Expected value: expected value is the average of a discrete random variable x. Having probability function p(x) the expected value is given by: Daily sales records for a computer manufacturing firm show that it will sell 0, 1 or 2 mainframe computer systems with probabilities as listed: Variance: of a random variable x with expected value is given by.
