Matlab exercise

4. Consider a discrete-time Markov chain with the following probability transition matrix 0 0 P= I-T- VVO 0 0 1 Is it possible to choose values for ar and y so that the Markov chain has the following properties? In each case, state the values of a and y, or give a brief reason why it is not possible. (a) The Markov chain has period 2. (b) The Markov chain is reducible. UNNN (c) The Markov chain has at least one transient state. (d) The Markov chain has invariant distribution (1/4, 1/4, 1/4, 1/4).6. (Matlab Simulation) Based on the circuit as shown below and all you need is only to post the picture: a) Build the circuit using \"Simscape\" in the Simulation of Matlab. b) Using \"Scope" to Show the capacitor voltage 1200:) within 53 and show the \"Signal Statistic" in the gure. 0.5 H SGcos(21r a Kit + 30) 9 Enter Name of reactants and products: Did Precipitate fonn in the simulation? Balanced Total equation (Molecular equation) If sub, what is the name of the B ApNO (ay) + NaClay) Net ionic equation: What color was the precipitabell Net ionic equation Name of reactants and products: Did Precipitate form in the simulation? Balanced Total equation (Molecular equation) If so. what is the C Ca( NO,)mag) * NaOH(ag) name of the precipitate? Net ionic equation: What color was the Precipitate? Net ionic equation: Did Precipitate form. Name of reactants and products: in the simulation? copper (II) nitrate + sodium carbonate > If so, what is the Balanced Total equation (Molecular equation) name off the precipitate? D What color was the Net ionic equation: precipitate? Net ionic equation: Page | 4Problem 8 [MATLAB exercise] The MATLAB function 'randn' is designed to generate samples of a random variable, say X, which is governed by a unit-Gaussian p.d.f. (i.e., a Gaussian p.d.f. with #x = 0 and of =1). In this exercise, we will investigate the ability of the routine to generate truly Gaussian samples. (a) Let X be a unit-Gaussian random variable. Using pencil and paper, compute P(0