A:IVHW6.pdf1/Find the transition probability matrix P(Z|X) for...the following cascaded channelsY10.70.80.30.2Y20.3X2220.7Y3And find the channel capacity?2-find the channel capacity, efficiency and redundancyfor this matrix if p(x1)= 0.4 and P(x2)= 0.30.05 0.05]0. 050.9.0.9P(YIX) =0.050.9lo.05 0.05II

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A First Course in Probability (10th Edition)

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Find X, (the probability distribution of the system after two observations) for the distribution vector X, and the transition matrix T. 0.6 0.3 0.9 T = = 0.4 0.1 X, =
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3. suppose that the manufacturer keeps a spare machine that only is used when the primary machine is being repaired. During a repair day, the spare machine has a probability of 0.1 of breaking down, in which case it is repaired the next day. Denote the state of the system by (x, y), where x and y, respectively, take on the values 1 or 0 depending upon whether the primary machine (x) and the spare machine (y) are operational (value of 1) or not operational (value of 0) at the end of the day. [Hint: Note that (0, 0) is not a possible state.] (a) Construct the (one-step) transition matrix for this Markov chain. (b) Find the expected recurrence time for the state (1, 0).
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1/ Find the transition probability matrix P(Z|X) for the following cascaded channels 0.7 0.3 0.3 And find the channel capacity? 2-find the channel capacity, efficiency and redundancy for this matrix if p(x1)= 0.4 and P(x2)= 0.3 0. 05 0.05] 0.9 0.05 [0.9 P(Y |X) =0.05 lo. 05 0.05 0.9 12