For the Markov chain of Exercise 5, suppose that p(s|j) is the probability that signal s is emitted when the underlying Markov chain state is j, j = 0, 1, 2. (a) What proportion of emissions are...

For the Markov chain of Exercise 5, suppose that p(s|j) is the probability that signal s is emitted when the underlying Markov chain state is j, j = 0, 1, 2.

(a) What proportion of emissions are signal s?

(b) What proportion of those times in which signal s is emitted is 0 the underlying state?

In Example 4.43, what is the probability that the first 4 items produced are all acceptable?