Transcription of Lecture: Probability Distributions
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Lecture: Probability Distributions Probability Distributions random variable - a numerical description of the outcome of an experiment. There are two types of random variables (1) discrete random variables can take on finite number or infinite sequence of values (2) continous random variables can take on any value in an interval or collection of intervals ex) The time that it takes to get to work in the morning is a continuous random variable. ex) The number of Bs. that you get in class this semester is a discrete random variable.
The distribution function has the same interpretation for discrete and continuous random variables. The CDF is also sometimes called the distribution function (DF). x Requirements for CDFs (1) Fx()≥0 everywhere the distribution is defined (2) Fx() non-decreasing everywhere the distribution is defined. (3) Fx()→1 as x →∞ 1
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