• 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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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