CSE 221: Probabilistic Analysis of Computer SystemsPoisson pmfPoisson pmf (contd..)Slide 4Uniform pmfUniform pmf (contd..)Probability Generating Function (PGF)PGF: Bernoulli pmfPGF: Binomial pmfPGF: Geometric pmfPGF: Modified geometric pmfPGF: Poisson pmfPGF: Uniform pmfCSE 221: Probabilistic Analysis of Computer SystemsTopics covered:Poisson pmf Uniform pmf Probability Generating Function (PGF) Sec. 2.5.5.-2.5.7, 2.7Poisson pmfRelationship between Bernoulli and Poisson pmf:Poisson pmf (contd..)Derivation of Poisson pmf: Parameters of Poisson pmf:Poisson pmf (contd..)Where to use: Example: Arrival process of jobs in a computer cluster.Uniform pmf Derivation of uniform pmf: Parameters of uniform pmf:Uniform pmf (contd..)Where to use: Example:Probability Generating Function (PGF) Definition:PGF: Bernoulli pmfDerivation:PGF: Binomial pmfDerivation:PGF: Geometric pmf Derivation:PGF: Modified geometric pmfDerivation:PGF: Poisson pmfDerivation:PGF: Uniform
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