Stats 3.4: Additional Topics in Probability & Counting

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Last updated 3:48 AM on 10/9/26
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5 Terms

1
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Factorials

factorials

count the number of ways to order n objects w/o repetition

  • n! = n × (n - 1) × (n - 2) × (n - 3) × … × 3 × 2 × 1


2
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Permutations

permutation = P(n,r)

arrangement of r out of n objects in ORDER & without repetition

<p>arrangement of <em>r </em>out of <em>n </em>objects in ORDER &amp; without repetition</p>
3
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Combinations

combination = C(n,r)

arrangement of r out of n objects WITHOUT ORDER

<p>arrangement of <em>r </em>out of <em>n </em>objects WITHOUT ORDER</p>
4
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Law of Large Numbers (LLN) Revisited

in terms of MEANS


as sample size increases ==> sample mean approaches population mean

  • As n → ∞, x̄ → µ


5
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Law of Large Numbers (LLN) Revisited

in terms of STDEV

as sample size increases ==> sample stdev approaches population stdev

  • As n → ∞, S → σ