Statistical Sciences 2244A/B Chapter Notes - Chapter 4: Standard Deviation, Binomial Distribution, Random Variable
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Random variable: a variable that has a single numerical value, determined by chance for. Discrete random variable: either has finite number of values or countable number of values where countable means there might be infinitely many values but can be associated with counting process. Continuous random variable: infinitely many values and they can be associated with measurements of a continuous scale without gaps or interruptions. Probability distribution: graph, table, or formula that gives probability for each value of the random variable. Probability histogram: is similar to the frequency histograms, but instead the y-axis shows probabilities instead of relative frequencies based on actual sample results. The areas of the rectangles on a probability histogram are the same as the probabilities. 0 <= p(x) <= 1 (sum of all probabilities is equal to 1) (each probability value must be between 0 and 1 inclusive)