In Exercises 25–36, you are given a transition matrix P. Find the steady-state distribution
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Finite Mathematics
- Exercise 10.2.5. An ion channel can be in either open (0) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO.arrow_forwardEXAMPLE 6.38 Consider an M/M/c queueing system. Find the probability arriving customer is forced to join queue. that anarrow_forwardPleaese show all work and clearly state the answers in complete English sentences.arrow_forward
- 8.arrow_forwardConsider the transition matrix P = [0.11 1225 7 10 0.4 0.1 20.2 5 Find the steady state vector: 000 18arrow_forwardUse the matrix of transition probabilities P and initial state matrix x, to find the state matrices x, X2, and x3. [0.6 0.1 0.1] 0.1 P = 0.3 0.7 0.1 Xo = 0.2 0.1 0.2 0.8 0.7 X1 = X3 Need Help? Read Itarrow_forward
- Provide an appropriate response. [0.80 0.10 0.10 Find the stationary matrix for the transition matrix P =|0.15 0.80 0.05 0.20 0.70 0.10 Round the numbers in your answer to the nearest hundredth.arrow_forwardSection 2 7. The joint probability function for X and Y is given below. Find Pr(X >Y). fx,x (x, y) 0.24 0.36 1 0.21 0.19 0.79 0.43 None of the given options. 0.21 0.57arrow_forwardFind the steady-state vector for the transition matrix. 56 7 7 21 77 X = 1/7 1/7 X Need Help? Read It Watch Itarrow_forward
- 2 7 QUESTION: Let P = Answer the following: 1 7 3 1. Explain (briefly) why P is a regular transition matrix. 3 7 2. Given the initial state vector xo , find the state vector X2. 10 10 3. Calculate the steady state vector. SHOW YOUR WORK!arrow_forwardwrite down the transition probability matrix for the examplearrow_forwardWhat are the steady state probabilities ? I just don't want the result, PLEASE BUT PLEASE explain the steps. This is the 4th time I'm asking this question thanksarrow_forward
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