Lecture3 - Lecture 3: Normal Distribution (Continued); Two...

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Lecture 3: Normal Distribution (Continued); Two useful Discrete Distributions: Binomial and Poisson Chapter 1
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Back to Standard Normal (Z): backwards? If I give you a probability, can you find the corresponding z value? à called percentiles What is the z -score for the 25 th percentile of the N(0,1) curve? -0.67 90 th percentile? 1.68
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Standardizing We can convert any normal to a standard normal distribution To do this, just subtract the mean and divide by the standard deviation z-score standardized value of x (how many standard deviations from the mean)
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Standardizing Put differently… Suppose we want the area between a and b for x This is exactly the same area between a* and b* for z, where a* is the a standardized and b* is b standardized
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The standardized values for any distribution always have mean 0 and standard deviation 1. If the original distribution is normal, the standardized values have normal distribution with mean 0 and standard deviation 1 Hence, the standard normal distribution is extremely important, especially it’s corresponding Z table. Remember we can do this forward or backward
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This note was uploaded on 02/06/2012 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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Lecture3 - Lecture 3: Normal Distribution (Continued); Two...

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