The transition matrix for a Markov process is given by State 1 2 T = State 1 State 2 1 3 5 6 2 3 1 6. (a) What does the entry a22 = 1 6 represent? The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred is 1 6. The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is 1 6. The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is 1 6. The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is 1 6. None of these are correct. (b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2? (c) If the initial-state distribution is given by X0 = State 1 State 2 1 5 4 5find TX0, the probability distribution of the system after one observation. X1 =
The transition matrix for a Markov process is given by State 1 2 T = State 1 State 2 1 3 5 6 2 3 1 6. (a) What does the entry a22 = 1 6 represent? The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred is 1 6. The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is 1 6. The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is 1 6. The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is 1 6. None of these are correct. (b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2? (c) If the initial-state distribution is given by X0 = State 1 State 2 1 5 4 5find TX0, the probability distribution of the system after one observation. X1 =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The transition matrix for a Markov process is given by
| State | ||||||||||||||||||||||||
| 1 2 | ||||||||||||||||||||||||
| T | = |
|
|
(a) What does the entry
(b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2?
(c) If the initial-state distribution is given by
find TX0, the probability distribution of the system after one observation.
a22 =
represent?| 1 |
| 6 |
The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred is
.
The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is
.
The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is
.
The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is
.
None of these are correct.
| 1 |
| 6 |
| 1 |
| 6 |
| 1 |
| 6 |
| 1 |
| 6 |
(b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2?
(c) If the initial-state distribution is given by
| X0 | = |
|
|
|
X1
|
= |
|
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