Continuous Random Variables
– not countable; can include
fractions/decimals
For a large data set, we summarize the distribution using bar graph.
As sample size increases, we get closer to the true population
probability.
Probability Density Function
For a continuous random variable X, we describe the probability
distribution by some function, f(x).
Because the total area under the density function is equal to 1,
there is a correspondence between area and probability.
For a continuous random variable, the probability of the variable
taking a particular value exactly is zero. (P[X = 1] = 0).
For
continuous random variables, probabilities are associated with a
range of values. (P[X > 1] = .3).
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Uniform Continuous Distribution
The uniform distribution is the simplest continuous distribution in
probability. The density curve of a uniform distribution is a
horizontal line so the area of any region can be found by
multiplying the width and height.
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 Fall '07
 MELutz
 Statistics, Normal Distribution, Probability, 5 seconds, 68%, normal probability distribution, 4 seconds, 29 pounds

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