STAT 8010 Lecture Notes - Lecture 4: Random Variable, Normal Distribution

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Probability is the link between mathematics and statistics. Random experiment = anything that you do where you don"t know the outcome in advance. Outcomes = all the distinct things that could happen. Probability is always a number between zero and one. P(e) = probability of an event (e) occurring. The relative frequency approach, also called the empirical approach, is a good way to test a coin to determine whether or not it is fair. Discrete outcomes are isolated points on a number line. The area under a graphical curve corresponds to probability. The graph that corresponds to a formula is often included with the results. A probability distribution matches the outcomes with their probabilities. In a probability table, all of the probabilities must add up to one. In an continuous probability graph the total area under the curve should equal 1.

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