STAT 301 Study Guide - Normal Distribution, Random Variable, Standard Deviation
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1. 1 continuous random variable: probability density function for continuous r. v. Total area under the curve should be 1. P (a x b) = area under the curve between a and b. F (x) 0 for all x: for continuous r. v. P (a x b) = p (a < x b) = p (a x < b) = p (a < x < b) Normal distribution; x n ( , ). Bell-shaped and symmetric density with mean and standard deviation . Standard normal distribution : n (0, 1): z-transformation. If x is distributed as n ( , ), then the standardized variaable. N (0, 1: converting n ( , ) to n (0, 1) If x is distributed as n ( , ), then. P (a x b) = p ( a . Z where z has the standard normal distribution, that is, n (0, 1). 1. 3 the normal approximation to the binomial: review :
