[Statistical Sciences 2244A/B] - Final Exam Guide - Comprehensive Notes fot the exam (60 pages long!)

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S t a t i s t i c a l s c i e n c e s 2 2 4 4 a / b. Lecture 006 - random variable and the binomial distribution. Identify random variables and categorize as discrete or continuous. Recognize and interpret probability distributions and histograms. Use the binomial probability function" to compute probabilities (or related values) where applicable. Describe the shape, centre, and spread of binomial distributions. A variable which has a numerical outcome of a random phenomenon (i. e. procedure) Let x be the rv equal to the number of students who have a part time job, out of four. Assume having a job is equally likely as not having a job, x. Outcomes(s) associated with x (nnnn) (ynnn) (nynn) (nnyn) (nnny) 4/16 = 0. 25 (yynn) (nyyn) (nnyy) (ynyn) (nyny) (ynny) 6/16 = 0. 375 (yyyn) (yyny) (ynyy) (nyyy) (yyyy) This is a classical approach since an assumption (rather than actual trials) are used.