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Basic Statistics for Business and Economics ch 7

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What are the two families of continuous probability distributions?   show
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show The simplest distribution for a continuous random variable. This distribution is rectangular in shape and is defined by minimum and maximum values.  
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Mean of the Uniform Distribution (mu) =   show
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Standard Deviation of the Uniform Distribution (sigma) =   show
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show 1/(b-a) [if x is between or equal to a and b]  
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show Height * Base  
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show It is bell-shaped and had a single peak at the center of the distribution. It is symmetrical about the mean. It falls off smoothly in either direction for the central values - it is asymptotic. Location of a normal distribution is determined by the mean.  
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Bell-Shaped   show
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show If the normal curve is cut vertically at the center value, the two halves will be mirror images.  
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show The curve gets closer and closer to the X-axis but never actually touches it. The tails of the curve extend indefinitely in both directions.  
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The dispersion or spread of the distribution is determined by:   show
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Standard Normal Probability Distribution   show
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z Value   show
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show For symmetrical bell-shaped frequency distribution about 68% of the observations will lie within plus and minus 1 standard deviation of the mean; 95% of the observations will lie within 2 standard deviations, and 99.7% within 3 standard deviations.  
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