TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/12.7
- ’Probability and Statistics’ exercises
A tutor of ’probability and statistics’ exercises claims that every student that is asked to present the solution for a problem on blackboard is randomly sampled (uniformly) with replacement among all students, for each problem. Every sheet contains of seven problems. After the sixth exercise session a motivated student mentions the following:
- (a) ’Every student in class was asked to present exactly once.’ What is the probability for that? Do the data support the tutor’s statement?
- (b) ’Two students were asked to present half of the exercises each.’ What is the probability for that, if the number of students is the same as in (a)?
- (c) What is the probability for the observations in (a) and (b) if the students were sampled without replacement?