Unformatted text preview: v༇ Adjust the scale so that the total area under the curve is 1.
v༇ Area under the curve to the left of 6 approximately equals the
proportion of observations less than 6. Density
v༇ A density curve is a curve that
q༇ is always on or above the horizontal axis and
q༇ has area exactly 1 underneath it. v༇ A density describes the overall pattern of a
distribution. The area under the curve and above any
range of values is the relative frequency of all
observations that fall in that range. Example: Uniform density
E.g. Uniform on the interval [0, 5]
flat
Height? → 0 5 Height = 0.2 because {area under a density} = 1 Continuous random variable
v༇ Recall: Takes all values in an interval of numbers. v༇ Note: The interval does not have to be bounded. v༇ Probability distribution of a continuous random variable is described by a density curve. v༇ Density curve stays above 0 & the total area under it is one. v༇ Example: q༇ Uniform Random Variable on [a,b] q༇ Normal Random Variable Continuo...
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 Fall '07
 Lv
 Normal Distribution, standard normal curve

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