Normal Distributions - University of Notre Dame

Normal DistributionsSo far we have dealt with random variables with a finitenumber of possible values. For example; ifXis the numberof heads that will appear, when you flip a coin 5 times,Xcan only take the values 0,1,2,3,4,or variables can take a continuous range of values, forexample a variable such as the height of 2 year old childrenin the population or the lifetime of an electroniccomponent. For a continuous random variableX, theanalogue of a histogram is a continuous curve (theprobability density function) and it is our primary tool infinding probabilities related to the variable.

3.The curve is centered at the mean which coincides with the median and the mode and is located at the point beneath the peak of the curve. 4.The area under the curve is always 1. 5.The curve is completely determined by the mean and the standard deviation ˙. For the same mean, , a smaller value of ˙gives a taller and narrower curve,

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