ECON2209 Lecture 10: 13February_EconStats_Karagodsky

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12 May 2017
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2. 1 why we care about normal dist: turns up naturally often. Miles driven by americans in a year. Kernels of popcorn popped: useful for determining probabilities. There are all normal distirbtuions with the same but di erent and therefor di erent std. deviations. As you can see the larger the wider the curve. Special normal distirbution where x n(0,1) z = x . 3. 1 formula for the normal probability density function f (x) = 2 2 e where: e = 2. 71, = 3. 14, = population mean, 2 = population variance. 2: x = any value of the continuous variable x note: won"t be asked for f(x) of a particular x b/c it is continuous (prob- ability would equal 0). Will ask for a range p(x 7) or something like that probability for a continuous random variable is the area under the curve.

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