Probability and Stochastic Processes : A Friendly Introduction for Electrical and Computer Engineers

  title={Probability and Stochastic Processes : A Friendly Introduction for Electrical and Computer Engineers},
  author={Roy D. Yates and David J. Goodman},
Problem 3.1.6 The joint PMF of X and N is PN X n x P N n X x , which is the probability that N n and X x. This means that both events must be satisfied. The approach we use is similar to that used in finding the Pascal PMF in Example 2.15. Since X can take on only the two values 0 and 1, let’s consider each in turn. When X 0 that means that a rejection occurred on the last test and that the other n 1 rejections must have occurred in the previous r 1 tests. Thus, 
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