2.20. Classify the irreducible DTMCs with the transition matrices given below as periodic or aperiodic: .10...
Consider the Markov chains given by the following transition matrices. (1) Q = (1/2 1/2) (we= (1/2 162) (ii) Q = (1 o). /1/3 0 2/3 (1/2 1/2 0 (iv) Q = 1 0 1 0 1 (v) Q = 1 0 1/2 1/2 lo 1/5 4/5) \1/3 1/3 1/3) For each of the Markov chains above: A. Draw the transition diagram. B. Determine whether the chain is reducible or irreducible. Justify your answer. C. Determine whether the chain is...
2. The transition probabilities for several temporally homogeneous Markov chains with states 1,.,n appear below. For each: . Sketch a small graphical diagram of the chain (label the states and draw the arrows, but you do not need to label the transition probabilities) . Determine whether there are any absorbing states, and, if so, list them. » List the communication classes for the chain . Classify the chain as irreducible or not . Classify each state as recurrent or transient....
5. (10 points) Exercise 13, Ch.6 of G, cither edition) Consider the transition matrix [1/2 00 1/2] 0 1/2 0 1/20 P-10 3/4 1/81/8 0 0 1/4 0 3/40 1/2 0 0 0 1/2 (a) Draw the transition diagram for the associated Markov chain (X(n)) and use it to deternine whether the chain is irreducible. (b) Find the classes and determine whcther each class is transient or ergodic. Determine whether each ergodlic class is aperiodic or periodic (in which case...
Classify the following signals below. For each signal provide a
brief discussion about the conclusions presented:
- Does the signal have energy, power, or neither?
- Is the signal Deterministic or random?
t sin(200nt) x[n] = ein A B 60 250 40 200 20 150 0 um w 100 -20 50 -40 1-15 -10 -5 0 5 10 0 -50 5 0 50 C D 1 0.8 0.5 0.6 Lilar lolit 0.4 0 0.2 m 0 -0.5 -0.2 0.4 -0.6...
The graph below shows a monopsony labor market. In the absence of any regulations, which of the following represents the number of workers the firm will hire and the wage rate it will offer to those workers? 2 60 Marginal Factor Cost 50 45 40 35 30 25 20 15 10 Supply of Labor Marginal Revenue Product 0 5 10 15 20 25 30 35 40 45 50 55 60 NUMBER OF WORKERS PER DAY Number of Workers 15; Wage...
The velocity of a particle traveling along a straight path is shown in the graph below. Sketch the acceleration versus time and position versus time graphs. How far will the particle move during the 60-s time period shown? 1. 45 40 35 30 25 20 15 10 占. 0 0 10 20 30 60 70 Time,s 40 50
Be able to give traversals of the entire tree: Pre-Order: 45, 25, 15, 10, 20, 35, 30, 40, 65, 55, 50, 60, 75, 70, 80 (extra 45 removed). In-Order: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80 Post-Order: 10, 20, 15, 30, 40, 35, 25, 50, 60, 55, 70, 80, 75, 65, 45
Problem 2: The storage-outflow relationship of a reservoir is given below. Determine a) the outflow hydrograph of this reservoir for the given inflow hydrograph. b) the attenuation and translation (106 m3) mos 5 60 10 120 15 180 20 240 25 300 30 360 35 420 40 480 Time imiony 0 7 2 14 4 36 6 45 8 35 10 25 12 19 14 15 16 13 18 11 20 9 22
Given an automatic rain-gage record presented in the table below, calculate the intensity duration curve for the following durations: 5, 10, 15, 20, 30, 45, 60, 80, 100, and 120 min. Time from Cumulative beginning of rainfall storm, min amount, mm 10 15 20 25 30 35 40 45 50 60 80 100 120 7.9 15.7 22.4 34.3 41.4 53.3 67.1 80.5 86.4 93.0 97.3 105.4 112.0 116.6
estimate the pKa values for the functional classes represented by the given molecules. C_C_H OH 05 05 05 05 10 10 1 1 01011010 010 10 O 15 015 | 10 1511015 O 15 O 15 020 O 20 0201 102011020 020 020 O 25 025 | |O 25 110 25 025 25 030 0301 103011030 030 030 O 35 035 | 1035 | |O 35 035 035 035 0401 104011040 40 40 40 045 O 45 45 | |...