You are given a transition matrix P and initial distribution vector v. 0.7 0.3 P = (a) Find the two-step transition matrix. (b) Find the distribution vector after one step. Find the distribution vector after two steps. Find the distribution vector after three steps.
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- CAPSTONE Let B and B be two bases for Rn. a When B=In, write the transition matrix from B to B in terms of B. b When B=In, write the transition matrix from B to B in terms of B. c When B=In, write the transition matrix from B to B in terms of B. d When B=In, write the transition matrix from B to B in terms of B.You are given a transition matrix P and initial distribution vector v. P = 0.5 0.5 0 1 , v = 1 0 (a) Find the two-step transition matrix. (b) Find the distribution vector after one step. Find the distribution vector after two steps. Find the distribution vector after three steps.You are given a transition matrix P. Find the steady-state distribution vector. HINT [See Example 4.] P = [ 5/7 2/7 0] [ 1/2 1/2 0] [ 1/3 0 2/3] [ ] [1, 1, 1] is not the answer.
- You are given a transition matrix P. Find the steady-state distribution vector. P = 0.6 0.4 0 0 1 0 0 0.1 0.9A pseudo-random signal (S) of -3 or 3 is transmitted over a noisy channel. S=-3 is transmitted with probability of 1/3. The received signal, Y, is the sum of the sent signal and the noise, N. The noise is modeled as a normal Gaussian with E[N]=0,var(N)=4 . The received signal is decoded as -3 for Y≤−0.5 and 3 for Y>−0.5. a. What is the probability of error in this system? b. To improve the system, each signal is transmitted three times and output is determine by majority rule (2 or more). What is the new probability of error?The test for independence is used when two categorical variables are collected. We put the observed values into a two-way table, on the calculator we enter the two-way table into a matrix. Which distribution does the test for independence use? Group of answer choices t χ2 z F
- Find the first three powers of each of the transition matrix. For each transition matrix, find the probability that state 1 changes to state 2 after three repetition of the experiment. a) C= 0.5 0.5 0.72 0.28 b) E = 0.8 0.1 0.1 0.3 0.6 0.1 0 1 0period stock a stock b 1 4.9 1.8 2 -6.2 9.6 3 -1.5 -3.8 4 2.1 -5.9 5 -5.4 6.7 6 6.8 -7.4 an inventor's portfolio consists of two stocks a and b the following represents each stock's rate of return (in%) for a sample of six periods find the covarianceMarkov model: d = 33% (success) f = 19% (non-success) 1. Assuming previous success [1 0], what is the probability of having a successful year? 2. What is the probability of having two successful years?