Lösungen/Solutions/F2S1Ue/Ex6

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

Ueb/Ex 1   L

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

Ueb/Ex 2

a

P(X=1)=P(X=2)=...=1/6

b

P(1<X<2)=0

c

P(1<=X<6) = P(X=1 or X=2 or ... or X=5) = 1/6+...+1/6 = 5/6

d

P(0.666..<X<2.5) = P(X=1 or X=2) = 1/6+1/6 = 1/3

Ueb/Ex 3

a

P(X=0)

p0 = 6/10 * 5/9

N[%]

b

P(X=1)

r1 = 4/10 * 6/9

r2 = 6/10 * 4/9

p1 = r1or2 = r1 + r2

N[%]

c

P(X=2)

p2 = 4/10 * 3/9

N[%]

d

P(X=0 or X=1 or X=2)

p0or1or2 = p0 + p1 + p2

N[%]

e

P(X<3) = P(X=0 or X=1 or X=2)

p3 = p0or1or2

N[%]

f

P(1 > X < 2) = 0

g

P(X<=2) = P(X=0 or X=1)

p0or1 = p0 + p1

N[%]

h

P(X>=1) = P(X=1 or X=2)

p1or2 = p1 + p2

N[%]

i

P(X>1) = P(X=2)

p2

N[%]

i

P(0.5 < X < 10) = P(X=1 or X=2)

p1 + p2

N[%]

Ueb/Ex 4

a

b1  = 2/5;  bb2 =  2/5;
                       br2  =  
        3/5;
r1  = 3/5;  rb2 =  2/5;
                       rr2  =  
        3/5;
bb = b1 * bb2;
br =  b1 * br2;
rb  =  r1 * rb2;
rr =  r1 * rr2;
{bb, br, rb, rr}

N[%]

bb + br + rb + rr

b

br + rb

N[%]