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Probability tutorials, week 3

Here are some remarks on the probability tutorials last week. I didn’t have time to comment on any but the most elementary problems, but I thought it might be good to review the basics anyways. I’ll...

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Probability, more remarks

I am adding now some comments on problem 5 of the probability sheet 1.

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Yet more remarks on Probability A, sheet 1

I am adding yet more remarks on sheet 1 of Probability A, this time on question 6.

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Probability, week 7

I’ve asked David Steinsaltz about problem 5 (b) in sheet 3, and he tells me that he stated a theorem (13.7) last week that allows you to compute long term averages using stationary states even in the...

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Probability sheet 4

Here is a sketch of problem 10 on sheet 4. The convergence question that came up in the tutorial is clarified in an elementary way. Added: Towards the end of the document, I should have stated that is...

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Probability sheet 4, number 9

I would like to highly recommend working out number 9 on probability sheet 4, simply because it’s so amusing. It reads like this: ———————————- Passengers arrive at a bus stop at rate 1 per minute. Find...

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Probability, sheet 4, number 8

I didn’t have time to fully discuss number 8 of sheet 4 . But Matej Balog has kindly agreed to let me post his solution on the blog.

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Probability, Sheet 3, Problem 5

I’m sorry I’ve been falling behind on my blogging. I’ll try to catch up gradually. Here is a discussion of the problem, as I mentioned during the tutorial.

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