CSE 221: Probabilistic Analysis of Computer SystemsBernoulli pmfBernoulli pmf (contd..)Slide 4Binomial pmfBinomial pmf (contd..)Slide 7Geometric pmfGeometric pmf (contd..)Modified geometric pmfModified geometric pmf (contd..)Slide 12Geometric distribution: Memoryless propertyCSE 221: Probabilistic Analysis of Computer SystemsTopics covered:Special discrete distributions Sec. 2.5.1.-2.5.4Bernoulli pmfWhat is a Bernoulli trial? Sample space: Bernoulli random variable:Bernoulli pmf (contd..)pmf: Distribution function: Parameters:Bernoulli pmf (contd..)Where to use: Example: Tossing a biased coin.Binomial pmf Relationship between Bernoulli and Binomial random variables: Sample space:Definition of Binomial random variable:Binomial pmf (contd..)pmf:Distribution function:Parameters of a Binomial distribution:Binomial pmf (contd..)Where to use:Example: Sequence of three coin tosses:Geometric pmfRelation between Bernoulli and Geometric pmf:Sample space:Definition of Geometric pmf:Geometric pmf (contd..)pmf:Distribution function:Parameters of a Geometric distribution:Modified geometric pmf Relation between Bernoulli pmf, geometric pmf and modified geometric pmf:Sample space:Definition of modified geometric pmf:Modified geometric pmf (contd..)pmf:Distribution function:Parameters of a modified geometric distribution:Modified geometric pmf (contd..)Where to use:Example:Geometric distribution: Memoryless
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