Understanding the Significance of Normal Distribution in Statistics
Delve into the essence of normal distribution, a fundamental concept in statistics that forms the basis for various analytical methods. Discover how the parameters μ and σ² define the mean and variance of a random variable X. Uncover the key characteristics and formulas associated with normal distribution.
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Presentation Transcript
Lecture Nine Normal Distribution
Normal distribution is the most famous in statistics science. Moreover, many methods of statistical analyses are based on normality. The parameters and 2represent the mean and variance respectively. A r.v. X has Normal dist. with parameters ( ) & ( 2), 2>0 if:
( ) x = 2 Var 1 ( ) t = + 2 2 exp t t x 2 2 ! k ; k even k 2 / 2 k 2 ! ( ) = k E x 0 ; k odd
