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Events. For ω ϵ Ω, X ( ω) ϵ IR. What does P(X=2) mean? What does P(X>2) mean?. Ch. 2 Intro to Discrete Rvs. Shorthand. For B ⊂ IR ,. 2.2 Discrete RVs. Probability Mass Functions. Common pmfs. Uniform Bernoulli p X (1) = p p X (0) = 1-p. Common pmfs.

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Events

Events


For x ir what does p x 2 mean what does p x 2 mean

For ω ϵ Ω, X (ω) ϵ IR.

What does P(X=2) mean?

What does P(X>2) mean?

Ch. 2 Intro to Discrete Rvs


Shorthand

Shorthand

  • For B⊂IR,


2 2 discrete rvs

2.2 Discrete RVs


Probability mass functions

Probability Mass Functions


Common pmfs

Common pmfs

  • Uniform

  • Bernoulli pX(1) = p

    pX(0) = 1-p


Common pmfs1

Common pmfs

  • Poisson


2 3 multiple rvs

2.3 Multiple RVs


Independence for 2 rvs

Independence for 2 RVs


Independence for multiple rvs

Independence for Multiple RVs


Max and min problems

Max and Min Problems


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