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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)

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Presentation on theme: "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)"— Presentation transcript:

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.


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