Amarkov chain is said to be doubly stochastic if both the rows and columns of the transition matrix sum to 1. assume that the state space is {0, 1, . . , m}, and that the markov chain is doubly stochastic and irreducible. determine the stationary distribution π. (hint: there are two approaches. one is to solve π = πp and p i∈s π(i) = 1 in general for doubly stochastic matrices. the other is to first solve a few examples, then make an educated guess about π, and finally show that your guess is correct.)

5

step-by-step explanation:

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

answer: none of these answers are correct only the second half is

step-by-step explanation: