1. CSE 3504: Probabilistic Analysis of Computer Systems Topics covered: Moments and transforms of special distributions (Sec. 4.5.2,4.5.3,4.5.4,4.5.5,4.5.6)

2. Bernoulli pmf  Description:  Expectation:  Variance:  Generating function:

3. Bernoulli pmf (contd..)  Example: Tossing a biased coin.

4. Binomial pmf  Description:  Expectation:  Variance:  Generating function:

5. Binomial pmf (contd..)  Example: Number of heads in a sequence of three tosses of a biased coin.

6. Geometric pmf  Description:  Expectation:  Variance:  Probability generating function:

7. Geometric pmf (contd..)  Example: Coin tosses of a biased coin, number of tails until the first head.

8. Poisson pmf  Description:  Expectation:  Variance:  Probability generating function:

9. Poisson pmf (contd..)  Example: Arrival of jobs in a queue.

10. Uniform distribution  Definition:  Expectation:  Variance:  Laplace-Stilje’s transform:

11. Uniform distribution (contd..)  Example: Rainfall on a given day.