MGCR 271 Lecture Notes - Lecture 2: Standard Deviation, Probability Distribution, Random Variable
12 Sep 2016
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Document Summary
The normal distribution has two parameters: the mean ( ) and the standard deviation ( ). Each different combination of and specifies a different normal distribution. The normal distribution is symmetrical about its mean and is bell-shaped, regardless of and . It is a continuous distribution thus it can assume any value in a specified range (not just integers). The mean will determine where the curve is centered on the x-axis and the standard deviation will determine how spread out the curve is. The larger the standard deviation, the flatter the curve. The curve is asymptotic and therefore only approaches but never actually reaches the x-axis. A normal random variable can range from - to but values a large distance away from the mean occur rarely. 30 same average, but the standard deviation is different blue= lowest standard deviation and so on.
