ECON 2B03 Lecture Notes - Lecture 12: Simple Random Sample, Statistical Parameter, Standard Normal Deviate
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The normal distribution: de moivre (1667 1745) first used this distribution in the year 1733. It is also called the gaussian distribution in honour of c. f. gauss (1777 1855) The normal distribution is given by f ( x)= 1. Some measurements of natural phenomena (ranging from people"s heights, weights, or. Iqs) exhibit frequency distributions that closely resemble the normal distribution. A random variable is said to have a standard" normal distribution if it has a normal distribution with a mean = 0 and a variance 2=1 , i. e. z ~ n(0,1) Simply because when we want to know areas under any normal distribution, all we need is the area under the standard normal distribution and know how to convert from any normal to the standard normal. Then we define the standard normal variable z as (note your book uses the nonstandard notation n ( , )