Chapter5 - Road map Chapter 5 Sampling Distributions...

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1 Chapter 5 Sampling Distributions (covered by about 3 lectures) Road map • Review Bernoulli Distribution • Sample counts: binomial distribution • Sample proportion • Sampling distribution of sample mean – Special case: underlying distribution is normal – Underlying distribution is an arbitrary distribution Bernoulli distribution    12 ~ 1, 0 ,1 X Bernoulli p xx pp p p  Binomial distribution    ~ Given independent Bernoulli trials ,, , if then ~( , ) n n X Bernoulli p n XX X YX X X YB i n o m i a l n p  
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2 Permutation vs. combination • Permutation means arrangement of things. The word arrangement is used, if the order of things is considered . • Combination: Combination means selection of things. The word selection is used, when the order of things has no importance . • E.g. abc and cba is the same combination but different permutation. Binomial distribution: an example • A deck of cards, 26 red and 26 black, you pick 10 cards
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Chapter5 - Road map Chapter 5 Sampling Distributions...

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