Oplossingen oefeningen Statistiek
Hoofdstuk 1: Kansrekenen
Reeks 1
p. 25 oef. 1
1/5 (= 20%)
p. 25 oef. 2
5/21 (=23.81%)
p. 25 oef. 3
a) 6/90 (= 6.67%)
b) 8/15 (= 53.33%)
p. 25 oef. 4
a) 75/90 (= 83.33%)
b) 5/80 (= 6.25%)
p. 25 oef. 5
a) 42%
b) 8%
c) 22%
d) 78%
p. 25 oef. 6
b) 25/63 (= 39.68%)
c) 29/63 (= 46.03%)
p. 26 oef. 7
a) 53/112 (= 47.32%)
b) 3/16 (= 18.75%)
c) 3/8 (= 37.50%)
p. 26 oef. 8
9/20 (= 45%)
p. 26 oef. 9
5/7 (= 71.43%)
p. 26 oef. 10
a) 7/8 (= 87.5%)
b) 1/7 (=14.29%)
c) 3/8 (= 37.5%)
p. 26 oef. 11
a) 7/60 (= 11.67%)
b) 5/6 (= 83.33%)
c) 1/6 (= 16.67%)
d) 1/9 (= 11.11%)
e) 1/6 (= 16.67%)
p. 26 oef. 12
a) 1/6 (= 16.67%)
b) 1/6 (= 16.67%)
p. 26 oef. 13
1/5 (= 20%)
p. 27 oef. 14
1/26 (= 3.85%)
p. 27 oef. 15
7/8 (= 87.5%)
p. 27 oef. 16
a) 2.3%
b) 60.87%
p. 27 oef. 17
a) 43.13%
b) 56.87%
p. 27 oef. 18
a) 21/34 (= 61.76%)
b) 30/66 (= 45.45%)
p. 27 oef. 19
Nee, want 0.12 = P(X=5, Y=2) = P(X=5)*P(Y=2) = 0.5*0.3 = 0.15
p. 27 oef. 20
meerdere oplossingen mogelijk
p. 27 oef. 21
Stel
X = “aantal ogen eerste dobbelsteen”
Y = “aantal ogen tweede dobbelsteen”
1
2
3
4
5
6
Y
Reeks 2
p. 28 oef. 1
1
2
3
4
5
6
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/36
1/6
1/6
1/6
1/6
1/6
1/6
P(winst | bij je eerste keuze blijven) = 1/3
X
1/6
1/6
1/6
1/6
1/6
1/6
1
p. 28 oef. 2
p. 28 oef. 3
p. 28 oef. 4
p. 28 oef. 5
P(winst | veranderen van keuze) = 2/3
1/3 (33.33%)
36.87%
a) ja (zie les)
b) 6/21 (= 28.57%)
a)
15/60
A
20/60
B
A
0,35
0,65
25/60
O
15/60
A
20/60
B
B
25/60
O
b) 69.58%
Hoofdstuk 2: Beschrijvende statistiek
p. 51 oef. 1
a)
i
xi’
fi
1
9
4
2
10
6
3
11
9
4
12
11
5
13
7
6
14
3
gemiddelde = 11.5
modus = 12
mediaan = 12
variantie = 1.95
p. 51 oef. 2
Fi
ri
Ri
4
10
19
30
37
40
0.10
0.15
0.225
0.275
0.175
0.075
0.10
0.25
0.475
0.75
0.925
1
b) 10/40 (= 25%)
c) modus = 12
d) 7/10 (= 70%)
a) modus = 5100400, mediaan = 5100350, gemiddelde = 5100322
b) variantie = 13716, standaardafwijking = 117.1153
Hoofdstuk 3: Kansverdelingen
p. 71 oef. 1
a)
xi’
P(X = xi’)
0
1
2
3
4
0,1975
0,3951
0,2963
0,0988
0,01235
µ = 4/3
b) 1/81 (= 1.23%)
σ2 = 8/9
c) 16/81 (= 19.75%)
d) 33/81 (= 40.7%)
p. 71 oef. 2
p. 71 oef. 3
p. 71 oef. 4
p. 71 oef. 5
p. 71 oef. 6
p. 71 oef. 7
p. 71 oef. 8
p. 72 oef. 9
p. 72 oef. 10
p. 72 oef. 11
p. 72 oef. 12
p. 72 oef. 13
p. 72 oef. 14
p. 72 oef. 15
p. 73 oef. 16
p. 73 oef. 17
xi’
P(X = xi’)
0
1
2
3
4
0,4823
0,3858
0,1157
0,0154
0,0008
P(meer dan 2 zessen) = 7/432 (= 1.62%)
0.87%
P(4 keer kruis) = 15/64 (= 23.44%)
P(minstens 4 keer kruis) = 22/26 = 34.38%
a) 131/243 (= 53.91%)
b) 11/243 (= 4.53%)
c) 1.67
d) 1.11
29.03%
7.73%
a) 16.8%
b) 13.23%
c) 83.69%
33.70%
a)
xi’
P(X = xi’)
0
1
2
3
4
0,9606
0,0388
0,0005
0,00000396
0,00000001
b) 96.06%
7.98 %
17.30%
a) 7.12%
b) 1.80%
a) P(Z > a) – P(Z > b)
b) 1 – P(Z > a) – P(Z > b)
c) zie 1
a) 2.5%
b) 2.5%
c) 47.5%
d) 47.5%
e) 98.42%
f) 96.84%
g) 98.42%
h) 13.59%
i) 81.85%
j) 13.59%
a) 1.96
b) 2.575
c) 1.645
d) -1.645
e) 2.325
f) -2.325
a) 59.87%
b) 18.26%
p. 73 oef. 18
p. 73 oef. 19
p. 73 oef. 20
p. 74 oef. 21
p. 74 oef. 22
p. 74 oef. 23
p. 74 oef. 24
p. 74 oef. 25
p. 74 oef. 26
p. 77 oef. 27
c) 15.83%
a) 2.28%
b) 77.34%
c) 2.28%
d) 55.86%
e) 99.38%
f) 29.63%
55.72%
a) 86.65%
b) 71.57
30.85%
7.18%
a) 99.74%
b) 95.44%
c) 68.26%
3.23 jaar
a) 34.46%
b) 81.11
c) 121.98
a) 19.6%
b) 1.92%
a) 6.68%
b) 6.68%
c) 5.1
Hoofdstuk 4: Samenhang tussen variabelen
Opmerking: je vindt hier alleen de numerieke resultaten zonder de interpretaties en de
conclusies! De hier vermelde getallen werden berekend in Excel.
p. 93 oef. 1
a) correlatiecoëfficiënt r = 0.9928
b) regressierecht: y = 24.726x - 570.03
c) 48.12 kB
p. 93 oef. 2
a) correlatiecoëfficiënt r = 0.9744
b) regressierecht: y = 0.1453x – 282.95
c) log(# transistoren) = 9.054 → # transistoren = 1132400400

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