# Probability supervisions (2008–2009)

The course webpage contains links to the syllabus, past tripos questions, lecture notes and the problem sheet.

Please hand in your work **before 16:00** on the day before the supervision. You can hand it in via email or on paper to the Gonville & Caius porters’ lodge.

## First Supervision [64]

- 2004 Paper 2 Question 5 Parts (a) and (b) [10]
- For each of the Bernoulli, Binomial, Geometric, Uniform and Poisson distributions
- calculate the expected value E(
*X*) [2 each] - calculate the variance Var(
*X*) [3 each]

- calculate the expected value E(
- Exercise 1 from the problem sheet. [10]
- Exercise 2 from the problem sheet. [3]
- Exercise 3 from the problem sheet. [3]
- Exercise 4 from the problem sheet. [5]
- Exercise 5 from the problem sheet. [3]
- Exercise 8 from the problem sheet. [5]

## Second Supervision [64]

- 2008 Paper 2 Question 5 Parts (c) and (d) [12]
- Exercise 10 from the problem sheet. [8]
- Exercise 11 from the problem sheet. [10]
- Exercise 12 from the problem sheet. [8]
- Exercise 13 from the problem sheet. [8]
- Exercise 14 from the problem sheet. [8]
- Exercise 15 from the problem sheet. [10]