Lösungen/Solutions/F2S1Ue/Ex5

L = Lektion/ Leçon   -- Sprechstunde / heures de consultation
W = Work / Arbeit / Travail
A=Anhang/Annexe/Appendice

Ueb/Ex 1

http://www.hta-bi.bfh.ch/~wir/ProblemsSolutions/UF2Sta05L1.pdf

Ueb/Ex 2

A, B, C unabhängig! / A, B C indépendants

pA = 0.05; pB = 0.05; pC = 0.10;
pAandB = pA pB; pAandC = pA pC; pBandC = pB pC; 
    pAandBandC = pA pB pC;
pAorBorC = 
      pA + pB + pC - pAandB - pAandC - pBandC + pAandBandC

pOK = 1 - pAorBorC

Ueb/Ex 3

Einmal würfeln / Jouer une fois avec un dé

p5or6 = 1/6 + 1/6;

Dreimal würfeln / Jouer trois fois avec un dé

tot = 6^3

OK1orOK2orOK3 = (1 + 1)*5*5 + 5*(1 + 1)*5 + 
        5*5*(1 + 1)

pExactONE5or6 = OK1orOK2orOK3/tot

N[pExactONE5or6]

Ueb/Ex 4

defect = 10 * 90/100  // N

tot = 90; defect = 10 * 90/100;
pDefect = 0.1; pOK = 1 - pDefect

OK = tot - defect

pOK1 = OK/tot

pOK2 = (OK - 1)/(tot - 1)

pOK3 = (OK - 2)/(tot - 2); pOK4 = (OK - 3)/(tot - 3); 
    pOK5 = (OK - 4)/(tot - 4);
pOK =  pOK1 pOK2 pOK3 pOK4 pOK5

pOK // N

Ueb/Ex 4

a

pOK = 11/12 * 10/11

pNotOK = 1 - pOK

pOK1andOK2andOK3 = pOK * pOK * pOK

N[pOK1andOK2andOK3]

b

pOK1andNotOK2andOK3 = pOK * pNotOK * pOK

N[pOK1andNotOK2andOK3]

c

pOK1andOK2andEvOK3=pOK1andOK2andNotOK3  OR  pOK1andOK2andOK3

pOK1andOK2andEvOK3 = 
      pOK * pOK * 
          pNotOK  + pOK * pOK * pOK

N[%]