50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50% chance to decrease by 1 or remain unchanged. (a) Write the transition probability matrix for this Markov chain. (b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody working in the lab at 10 am
50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50% chance to decrease by 1 or remain unchanged. (a) Write the transition probability matrix for this Markov chain. (b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody working in the lab at 10 am
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Question
A small computer lab has 2 terminals. The number of students working in this lab is recorded
at the end of every hour. A computer assistant notices the following pattern:
- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a
50-50% chance to increase by 1 or remain unchanged.
- If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%
chance to decrease by 1 or remain unchanged.
(a) Write the transition probability matrix for this Markov chain.
(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody working
in the lab at 10 am?
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