• What is the probability that you need to report to work on the 2nd day (i.e., P(Day 2 = On Duty))? Answer: (Please write your answer with 2 decimal points) • What is the probability that you take a leave on the 2nd day (i.e., P(Day 2%D Off Duty))? Answer: (Please write your answer with 2 decimal points) • What is the probability that you go to work on the third day (i.e., P(Day 3=On Duty))? Answer: (Please write your answer with 4 decimal points) • What is the probability that the third day was a Day Off (i.e., P(Day 3-Day (Dlease write vour answer with 4 decimal

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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Question
Given the following Markov Chain diagram.
0.15
On
Duty
Off
0.85
0.2
Duty
0.8
Given that you were on duty the first day (i.e., P(Day 1=On Duty) = 1 and P(Day
%3D
1= Off Duty) = 0), answer the following questions.
• What is the probability that you need to report towork on the 2mnd day (i.e.,
P(Day 2 = On Duty))? Answer:
(Please write your
answer with 2 decimal points)
• What is the probability that you take a leave on the 2nd day (i.e., P(Day 2 =
Off Duty))? Answer:
(Please write your answer with 2
decimal points)
• What is the probability that you go to work on the third day (i.e., P(Day
3=On Duty))? Answer:
|(Please write your answer with 4
decimal points)
• What is the probability that the third day was a Day Off (i.e., P(Day 3=Day
Off)? Answer:
(Please write your answer with 4 decimal
points)
Transcribed Image Text:Given the following Markov Chain diagram. 0.15 On Duty Off 0.85 0.2 Duty 0.8 Given that you were on duty the first day (i.e., P(Day 1=On Duty) = 1 and P(Day %3D 1= Off Duty) = 0), answer the following questions. • What is the probability that you need to report towork on the 2mnd day (i.e., P(Day 2 = On Duty))? Answer: (Please write your answer with 2 decimal points) • What is the probability that you take a leave on the 2nd day (i.e., P(Day 2 = Off Duty))? Answer: (Please write your answer with 2 decimal points) • What is the probability that you go to work on the third day (i.e., P(Day 3=On Duty))? Answer: |(Please write your answer with 4 decimal points) • What is the probability that the third day was a Day Off (i.e., P(Day 3=Day Off)? Answer: (Please write your answer with 4 decimal points)
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