MAT 316 Lecture Notes - Lecture 12: Moment-Generating Function

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17 Sep 2016
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We"re now ready to start looking at the named continuous distributions. For discrete distributions, names go with situations describing what is being counted. We will begin with the simplest distribution, the (continuous) uniform distribution. The word uniform means all the same it is the distribution where no value is any more likely to happen than any other. Incidentally, there is also a discrete uniform distribution, where the rv. X has n possibilities, each of which is equally likely. Thus the probability of each value of x is . The discrete uniform distribution where the possible values are x = 1, 2, . , n is given in the distribution chart. An example of this is rolling a fair die and counting x = the number of dots on top. Now return to the continuous uniform distribution. (this is the. Default uniform; if we just say uniform , we mean the continuous uniform distribution. )

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