CSE 221: Probabilistic Analysis of Computer SystemsDiscrete random vectorsDiscrete random vectors (contd..)Slide 4Slide 5Discrete random vectors (contd..)Slide 7Slide 8Slide 9Sum of random variablesSum of random variables (contd..)CSE 221: Probabilistic Analysis of Computer SystemsTopics covered:Discrete random vectorsIndependent random variables Sec. 2.8-2.9Discrete random vectorsDefinition:Discrete random vectors (contd..)Definition:Discrete random vectors (contd..)Joint/Compound pmf:Discrete random vectors (contd..)Example: Sequence of three coin tosses X1 – Number of heads, X2 – Number of tails.Joint pmf:Discrete random vectors (contd..) Tabular/2-dimensional representation of pmf of 2 random variables:Discrete random vectors (contd..)Example 2:Discrete random vectors (contd..) Description: Marginal pmfDefinition: Marginal pmfDiscrete random vectors (contd..)Computation of marginal pmf: ExampleSum of random variablesDistribution:Sum of random variables (contd..)Sum of Binomial random
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