# Question: A PCM waveform has the two states 1 and

A PCM waveform has the two states + 1 and 0. Suppose the transition matrix is

The initial value of the waveform is determined by the flip of a coin, with the outcome of a head corresponding to + 1 and a tail to 0.

(a) What is the probability that the waveform will be at + 1 after one step if the coin is a fair coin?

(b) Find the same probability if the coin is biased such that a head occurs with probability 1/3.

(c) Repeat the problem for two steps.

The initial value of the waveform is determined by the flip of a coin, with the outcome of a head corresponding to + 1 and a tail to 0.

(a) What is the probability that the waveform will be at + 1 after one step if the coin is a fair coin?

(b) Find the same probability if the coin is biased such that a head occurs with probability 1/3.

(c) Repeat the problem for two steps.

**View Solution:**## Answer to relevant Questions

A three- state Markov chain has the following transition matrix: (a) Does this Markov chain have a unique steady- state probability vector? If so, find it. (b) What is the approximate value of p1 3 ,(100)? What ...A certain three- state Markov chain has a transition probability matrix given by Determine if the Markov chain has a unique steady- state distribution or not. If it does, find that distribution. A student takes this course at period 1 on Monday, Wednesday, and Friday. Period 1 starts at 7: 25 A. M. Consequently, the student sometimes misses class. The student’s attendance behavior is such that she attends class ...Suppose a Bernoulli trial results in a success with probability p and a failure with probability 1 – p. Suppose the Bernoulli trial is repeated indefinitely with each repitition independent of all others. Let Xn be a “ ...For the general two- state Markov chain of Exercise 9.8, suppose the states are called 0 and 1. Furthermore, suppose Pr (X0= 0)= s and Pr (X0= 1) = 1 – s . (a) Find Pr (X1= 0, X2= 1). (b) Find Pr (X1= 1 | X0= 0, X2= 0). ...Post your question