Memorera

The exercise was created 2019-08-18 by roppen. Question count: 13.

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  • P(AuB) = ? P(A)+P(B)-P(A^B)
  • P(AuBuC) = ? P(A)+P(B)+P(C)+P(A^B^C)-P(A^B)-P(A^C)-P(B^C)
  • Booles olikhet? P(AUB)<=P(A)+P(B)
  • Betingad sannolikhet? P(A|B)=P(A^B)/P(B)
  • Lagen om total sannolikhet? P(A)=EP(A|H)P(H)
  • Bayes sats? P(B|A)=P(A|B)P(B)/P(A)
  • A, B är oberoende om? P(A^B)=P(A)P(B), P(A|B)=P(A)
  • P(A^B^C) = ? P(A)P(B|A)P(C|A^B)
  • A^(BuC) = ? (A^B)U(A^C)
  • C(XY) = ? E(XY)-E(X)E(Y)
  • korrelationskoeff p(XY) = ? C(XY)/D(X)D(Y)
  • E(X-Y) = ? E(X)-E(Y)
  • V(X-Y) = ? V(X)+V(Y)-2C(XY)

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