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Suppose we conduct independent Bernoulli experiments with probability of success p once every hour. We track...

Suppose we conduct independent Bernoulli experiments with probability of success p once every hour. We track the number of successes over time. Let T = {1, 2, 3, . . .}.

(a) Define the state of this process at time t, Y (t). (b) What is the state space at time t? (c) What distribution would each Y (t) have? (d) How are the random variables X(t) (from the Bernoulli process) and Y (t) related? (e) What would a plot of a realization of this process look like? (f) Provide an example of a realization of this process assuming T = 5

math   Statistics-And-Probability   
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