Question: 14.6 Consider a system that can be modeled by an array of six states labeled 1; 2; ...; 6. Every state makes a transition to

14.6 Consider a system that can be modeled by an array of six states labeled 1; 2; ...; 6. Every state makes a transition to itself with probability p and makes a transition to the next higher state with probability 1 2 p. An experiment starts in the Begin state and ends when the End state is reached. The model is illustrated in Figure 14.22. Let L be a random variable that denotes the length of time that the process takes to pass from state 1 to the End state in an experiment.

a. What is the PMF of L?

b. What is the expected value of L?

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