Chapter 9.1, Problem 11E

To determine

(a)

To find:

The quantity represented by the element $a_{11}$ of the given transition matrix.

To determine

(b)

To find:

The probability that the next outcome of the experiment will be State 2, given that outcome State 1 has already occurred.

To determine

(c)

To find:

The probability distribution of the system after one observation, given by $T{X}_0$.