E Random Pub Crawl: Your town has 5 pubs close to your home,say A, B, C, D, E.1/41/21/2Home 1/21/41/4 1/4/1/41/41/31/41/21/31/4DE1/31/2(a) Write a program to simulate the random pub crawl. (From the"home" state allow probability 1/2 of going back to state B).(b) Starting from the Home state, run your program 1000 times, eachtime simulating a Markov chain of length 100. Each simulationshould output a random sequence of values ($1, 82, 83..., $100 )where each si is a pub and with that sequence, compute the num-ber of times each state is visited. Keep only these statistics. Afterthe 1000 repetitions compute the average number of visits to eachstate.3. hen finished, make sureptionally, click Save as Draftd.albany.edu/webe(e) How do the statistics change if you started at state D? Repeat thesimulation staterting at state D.(d) Does the distribution over states visited at step t converge for larget?(e) Approximately how long does it take for the chain to " forget""whether it started at Home or at D?

Atilibilkolaudom Pub Crawl: Your tow. has 5 pubs close to your bone, say A, B, C, D, E. 1/4 1/2 1/2…

Answered: ps) Random Pub Crawl: Your town has 5…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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✓ Exercises Exercise: Write a method _ and _ that computes the region representing the intersection of two regions. Exercise: Write a method _contains__, which checks whether a n-dimensional point belongs to the region. Remember, a point belongs to the region if it belongs to one of the rectangles in the region. ✓ Membership of a point in a region #@title Membership of a point in a region def region_contains (self, p): ### YOUR SOLUTION HERE Region._contains = region_contains [ ] # Tests 10 points. assert (2, 1) in Region (Rectangle((0, 2), (0, 3)), Rectangle((4, 6), (5,8))) assert (2, 1) not in Region (Rectangle((0, 1), (0, 3)), Rectangle((4, 6), (5, 8))) Exercise: Write a method _le_ for regions such that R <= S if the region R is contained in the region S. You can test this by checking that the difference between R and S is empty.
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ps) Random Pub Crawl: Your town has 5 pubs close to your home, say A, B, C, D, E.