STATS P7 STEP
BY STEP Solution
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1. A balanced
coin is tossed 8 times. Let X denotes the number of heads. Calculate the following: / ‘n Gebalanseerde
muntstuk word 8 keer gewerp. Laat X die aantal munte aandui. Bereken die volgende:
1.1 P(X
= 5)
1.2 P(X
2)
2)
1.3 P(X
> 2)
2. Given/Gegee:
Z ~ N ( 0 , 1); Calculate: /
Bereken:
2.1 P(-
2.58 < Z < 2.52)
2.2 The
value of k in. / Die waarde van k in.
P(Z < k) = 0.9881
2.3 P(-
2.18 < Z < -1.82)
2.4 The
value of k in. / Die waarde van k in.
P(Z > k) = 0.9616
2.5
2.6
2.7
2.8
Find k
2.9 . Find k
2.10 . Find k
2.11 The
value of k in : / Die waarde van k in:
P(Z > k)
= 0.0392
2.12
find / bepaal k
2.13
find k
2.14
find / bepaal a
2.15 The
value of k in: / Die waarde van k in:
P( Z > k)
= 0.9887
2.16 The
value of k in: / Die waarde van k in:
P( Z < k) = 0.9394
2.17 The
value of k in : / Die waarde van k in:
P( Z > k) = 0.0823
2.18 The
value of k in: / Die waarde van k in:
P( Z < k) = 0.0618
3. A luxury passenger liner has 500
passengers on board whose ages are normally distributed around a mean of 60
years with a standard deviation of 12 years. / ’n Luukse passasierskip het 500
passasiers aan boord. Hul ouderdomme word normal verdeel om ‘n gemiddelde van
60 Jaar heen, met ‘n standaardafwyking van 12 jaar.
3.1 How many of the passengers are between 45
and 78 years old? / Hoeveel van die passasiers is tussen 45 en 78 jaar oud?
3.2 What is the minimum age of the oldest 20%
of passengers? / Wat is die minimum ouderdom van die oudste 20% van die
passasiers?
4. The weight of certain population of
young females is approximately normally distributed with the mean of 66 kg and
a standard deviation of 7.5 kg. If an individual is selected at random from
this population, find: / Die gewig van sekere bevolking van jongvrou eis
gewoonlik benaderd normaalverdeel met die gemiddelde van 66 kg en 'n
standaardafwyking van 7.5 kg. As 'n individu ewekansig gekies word uit hierdie
bevolking, vind:
4.1 The
probability that she will weigh more than 77.5 kg. / Die waarskynlikheid dat sy
meer as 77.5 kg sal weeg.
4.2 The
percentage of women who will weigh less than 64.5 kg. / Die persentasie van die
vroue wat minder as 64.5 kg sal weeg.
4.3 The
probability that she will weigh between 52.5 and 72.5 kg. / Die waarskynlikheid
dat sy tussen 52.5 en 72.5 kg sal weeg.
Question 1
•
What is the answer
of question 1.3 in practical 7?
|
|
|
0.9332
|
|
|
|
0.9199
|
|
|
|
0.9911
|
|
|
|
0.8555
|
1 points
Question 2
•
What is the answer
of question 2.3 in practical 7?
|
|
|
0.0865
|
|
|
|
0.0165
|
|
|
|
0.0168
|
|
|
|
0.8989
|
1 points
Question 3
•
What is the answer
of question 2.6 in practical 7?
|
|
|
0.0359
|
|
|
|
0.0275
|
|
|
|
0.0388
|
|
|
|
0.0465
|
1 points
Question 4
•
What is the answer
of question 2.10 in practical 7?
|
|
|
0.68
|
|
|
|
0.16
|
|
|
|
0.85
|
|
|
|
0.45
|
1 points
Question 5
•
What is the answer
of question 2.14 in practical 7?
|
|
|
0.65
|
|
|
|
-0.65
|
|
|
|
0.85
|
|
|
|
-0.85
|
1 points
Question 6
•
What is the answer
of question 2.18 in practical 7?
|
|
|
1.37
|
|
|
|
-2.64
|
|
|
|
-1.54
|
|
|
|
2.58
|
1 points
Question 7
•
What is the answer
of question 3.1 in practical 7?
|
|
|
183
|
|
|
|
454
|
|
|
|
414
|
|
|
|
465
|
1 points
Question 8
•
What is the answer
of question 3.2 in practical 7?
|
|
|
70.08
|
|
|
|
80.1
|
|
|
|
68.05
|
|
|
|
76.12
|
1 points
Question 9
•
What is the answer
of question 4.1 in practical 7?
|
|
|
0.045
|
|
|
|
0.063
|
|
|
|
0.144
|
|
|
|
0.163
|
1 points
Question 10
•
What is the answer
of question 4.2 in practical 7?
|
|
|
50.55%
|
|
|
|
85.25%
|
|
|
|
79.65%
|
|
|
|
42.07%
|
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