Atotal of m white and m black balls are distributed among two urns, with each urn containing m balls. at each stage, a ball is randomly selected from each urn and the two selected balls are interchanged. let xn denote the number of black balls in urn 1 after the nth interchange.

(a) give the transition probabilities of the markov chain xn, n 0.
(b) without any computations, what do you think are the limiting probabilities of this chain?
(c) find the limiting probabilities and show that the stationary chain is time reversible.

take it another

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation: