Given the following Markov Model, the correct statements are: b₁ π = 4 25 π = .6 Sunny Rainy .3 .75 7 The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.75* 0.25* 0.7 * 0.3. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.3 * 0.3 * 0.25 * 0.25 * 0.3. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.4 * 0.6* 0.6 * 0.4. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.75*0.75 * 0.7*

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 15RP
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Given the following Markov Model, the correct statements are:
π = .4
.25
π = .6
Sunny
Rainy
.3
.75
.7
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.75* 0.25*
0.7 * 0.3.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.3 * 0.3 * 0.25 *
0.25 * 0.3.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.4 * 0.6*
0.6 * 0.4.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.75 * 0.75 * 0.7*
0.7 * 0.75.
Transcribed Image Text:Given the following Markov Model, the correct statements are: π = .4 .25 π = .6 Sunny Rainy .3 .75 .7 The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.75* 0.25* 0.7 * 0.3. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.3 * 0.3 * 0.25 * 0.25 * 0.3. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.4 * 0.6* 0.6 * 0.4. The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.75 * 0.75 * 0.7* 0.7 * 0.75.
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