Probability (PRO) Fall, 2012

Budapest Semesters in Mathematics

 
Márton Balázs
Email:balazs@math.bme.hu
Tel:463 1111, ext. 5904
Office outside BSM:Budapest University of Technology and Economics (BME)
(just in case)Office 603, sixth floor, Building H, 1 Egry József u., 1111 Budapest
Text is:A First Course in Probability, Sixth or Seventh or Eighth Edition by S. Ross
Classes:R 12:15 - 1:55pm, F 12:15 - 1:00pm, Room 105
Makeup classes:October 29, Room 206 and December 3, Room 105 Mondays, 8:30 - 10:00am. No classes on December 6 and 7.
Office hours: F 1:10 - 1:55pm, Room 105
Makeup midterm: November 19 Monday, 8:30am, Room 104
Final exam: December 17 Monday, 4:15pm, Room 104

 
 
  • The syllabus, updated with MUC classes, containing the topics covered, the course requirements. and the detailed schedule (e.g., homework due dates).
     
  • 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 HIV test?
       
    • Maybe Murphy was right? (Anything that can go wrong, will go wrong.)
       
    • Does a fox have any chance of escaping a hunter?
       
    • 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 will Sindbad try to select the nicest of the odalisques?
       
    • How many people should we ask when we make a survey?
       
  • The standard normal distribution in pdf.
     
  • Here you can find how the previous semester was taught.

 



 

If you have any questions, please contact me (see above).

 


 
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