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13 Cards in this Set
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What is the aim of probability/stastics?

To study the population in terms of a (random) sample and use the sample to make inferences about the population.


Sample space

the set of all possible outcomes of an experiment


Outcome vs event

An outcome is the result of a single trial of an experiment; an even is one or more outcomes of an experiement


Probability

P(A)=f/N


Probability: basic properties

P(A) is greater than or equal to 0 and less than or equal to one
P(S)=1 p(A1 U A2)=A1 + A2 if A1 and A2 are disjoing, i.e their intersection is the empty set. 

Permutation vs combination

Order matters in permutations, not in combinations


nPr

n! / (nr)!


nCr =(n r)

nPr / r! = n! / (nr)! r!


A and B are independent iff...

... iff P(AB)=P(A)P(B)
P(AB)=P(A) P(BA)=P(B) 

Additive Laws of Probability (union)

P(A U B)= P(A)+P(B)P(AB)
=P(AP+P(B)P(A)P(B) if A, B independent =P(A)+P(B) if mut exclus 

P(A U B U C) = ...

... = P(A) + P(B) + P(C)  P(AB)
 P(AC)  P(BC) + P(ABC) 

P(A^C) = ...

... = 1  P(A)


P(ABC)=...

... = P(A)P(BA)P(CAB)
