Lec4.5 - 79 Lecture 8 CHAPTER 4 COMMONLY USED DISTRIBUTIONS The Normal Distribution(Section 4.5 page 240 Definition A continuous variable x is said

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79 Lecture 8: CHAPTER 4: COMMONLY USED DISTRIBUTIONS The Normal Distribution (Section 4.5, page 240) Definition A continuous variable x is said to have a normal distribution with parameters and , where and 0 , if the density function of x is ) 2 ( ) ( 2 2 2 1 ) ( x e x f for x where and 2 are the mean and variance, respectively. If X is a random variable whose probability density function is normal with mean and variance 2 , we write ) , ( ~ 2 N X .
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80 THE STANDARD NORMAL DISTRIBUTION Definition Standard Normal Density Curve: Note: Standard normal distribution can be obtained from a given normal distribution by using the following substitution. x z Proportion of values for the standard normal distribution can be obtained using the Table A.2 in the appendix (or the table at the very front of your book, as soon as you open the cover!). The normal distribution with parameter values
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This note was uploaded on 06/20/2011 for the course STAT 2800 taught by Professor Paula during the Winter '11 term at UOIT.

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Lec4.5 - 79 Lecture 8 CHAPTER 4 COMMONLY USED DISTRIBUTIONS The Normal Distribution(Section 4.5 page 240 Definition A continuous variable x is said

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