Unformatted text preview: P ( n ) = Z 13 / 2 7 / 2 f ( x ) dx. Of course, we could also compute probabilities that don’t make sense in the context of the dice, such as the probability that X is between 4 and 5 . 8. 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 Figure 9.16 A probability density function for two dice. As this example illustrates, we do not require that f be continuous, but we will assume that f has only ﬁnitely many discontinuities (possibly zero), and that the discontinuities are either jump discontinuities or removable (a “hole” in the function). This guarantees...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Probability, Probability theory, probability density function

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