1) Consider a memoryless discrete-time source which emits a sequence of random elements X1, X2, · · • , Xk, •• • , where Xk for each integer k can be any of a1, a2, az and a4. Assume that Prob(xk = a1) = 0.01, Prob(xk = a2) = 0.1 and Prob(x = a3) = 0.3. Answer the following questions: a) What is the complete set of all possible outcomes of (x, xk+1) and their probabilities?

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1) Consider a memoryless discrete-time source which emits a sequence of random elements
X1, X2,
xk,, where xk for each integer k can be any of a1, a2, az and a4. Assume
...
that Prob(xk = a1) = 0.01, Prob(Xk = a2)
0.1 and Prob(xk
аз)
0.3. Answer the
following questions:
a) What is the complete set of all possible outcomes of (xk, Xk+1) and their probabilities?
Transcribed Image Text:1) Consider a memoryless discrete-time source which emits a sequence of random elements X1, X2, xk,, where xk for each integer k can be any of a1, a2, az and a4. Assume ... that Prob(xk = a1) = 0.01, Prob(Xk = a2) 0.1 and Prob(xk аз) 0.3. Answer the following questions: a) What is the complete set of all possible outcomes of (xk, Xk+1) and their probabilities?
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