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Binomial - Le arning Obje s ctive cognizeand...

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Learning Objectives Recognizeand usethe probability mass functions of common discreterandom variables: Uniform Bernoulli Binomial Geometric Poisson
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Binomial Construct from a sequenceof n Bernoulli RV’s with parameter p Binomial RV is the number of “successes” k in n trials Binomial RV X with parameters n and p p X ( k ) = n k p k (1 - p ) n - k k = 0 ,1 , K , n
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Example Toss a fair coin 20 times. The binomial RV “X” is the number of heads in the sequence: Probability of 17 heads: p X ( k ) = 20 k (0.5) k (1 - 0.5) 20 - k k = 0 ,1 , K , n p X ( k = 17) = 20 17
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