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Lecture 3 - Continuous Random Variables not countable can...

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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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