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Important points in 7.5.4:<br />

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Understanding Discrete vs. Continuous<br />

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For a Continuous Random Variable, probabilities of an interval of values are represented by areas (that are sectioned off by vertical slices).<br />

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For a Continuous Random Variable the probability that X=(<em>any specific value</em>) = 0.&nbsp; For a continuous variable there are an infinite number of possible values the variable can have.&nbsp; Even if you think of each one as equally likely (as in a Uniform Distribution), the probability of any one particular value is 1/(infinity) which is 0.<br />

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&quot;<strong><em>expected value</em></strong>&quot; is a term that means the mean (average)<br />

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the mean (&ldquo;expected value&rdquo;) is the &quot;balance point&quot; of the area<br />

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