- The syllabus,
containing the topics covered, the course requirements, the detailed
schedule (e.g., homework due
dates). The content of the syllabus is continuously
updated as more information becomes available, please check regularly.
- Lecture notes
for the course, can be also regarded as a
supplementary material to the Ross book.
- Some material from my colleague András Vetier on
height-weight joint distribution to demonstrate bivariate
normals: height-weight 1. 2.
- Here is an ad to demonstrate that probability is
useful and interesting. (Not to mention the steadily increasing number
of open positions in probability and applications in the industry.)
Among others, we plan to cover the following questions:
- What are the chances that there is no common
birthday in a classroom?
- The king comes from a family of two children.
What is the probability that the other child is his sister? (Of course,
not 1/2.)
- The famous Monty Hall paradox (also featured in
the series "Numbers"): Out of three doors, one hides treasure, two hide
goats. You point to one of the doors, now Monty opens another
door with a goat. Do you now think the treasure is behind your door, or
behind the other one Monty did not open for you?
- How certain should an inspector be when a new
evidence occurs?
- How worried should I be after a positive blood
test for a serious, but rare disease?
- Maybe Murphy was right? (Anything that can go
wrong, will go wrong.)
- If you have to rent an apartment within a month,
and want to pick the best offer out there in the market, what is your
optimal strategy?
- Where would you place the service stations for a
bus route that travels between cities A and B?
- Does a bus driver usually see more or less
passengers than a passenger on the bus? Why?
- What does it mean to be completely memoryless?
- Would you rather fly a three-engine plane or a
five-engine one?
- How many chocolate chips should you plan per
muffin so that less than 1% of customers get upset?
- What are the chances that you can shoot a bullet
out of the forest without hitting a tree?
- How can we measure the value
of π just by flipping a needle?
- For how long will Jack and Jill wait for each
other on a rendez-vous?
- Eight students enter the elevator in a ten-storey
building. How many times will the elevator stop?
- How much time does it take for the lost miner to
find his way out of the mine?
- Upon receiving a noisy signal, what is your best
guess for what has been sent?
- How many people should we ask when we make a
survey?
- The standard
normal distribution in pdf.
- Here
you can find how a previous semester was taught.
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