Problem 5. Consider a Markov chain with n states arranged in a circle. At each step the chain jumps one step clockwise with probability 2/3 and one step anticlockwise with probability 1/3. (a) Show that this is periodic if n is even and aperiodic if n is odd. (b) What is the stationary measure for this chain?

Q: 3 -4- -0- 4. 2.

A:

Q: 5 -100 12 8

A: Solve the given

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 12 X-

A: The solution is given below

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: N. 15 12

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 619 d. 4 10

A:

Q: 3) 24 12

A: We can find the value of x as below

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: Find the set An U. U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A= {4, 8, 9, 10} Select the correct choice…

A: U=1,2,3,4,5,6,7,8,9,10A=4, 8, 9, 10

Q: 5. 20 52

A:

Q: 3. 18

A:

Q: 10 4 2.

A: Solution-

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 12 16 5n

A: Area of triangle= (1/2) × Base × Height