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Question:

Consider field of study  chosen obtained from a simple random sample of 50 school leavers around Klang Valley as shown in Table 1.

 

A – Architecture                               B – Business                                       C – Communication

E – Engineering                                F – Foundation                                I – IT

 

Table 1/Jadual 1

B

F

I

B

A

A

F

F

F

F

E

B

C

I

B

E

C

C

B

F

C

E

C

A

E

I

I

E

B

B

F

E

C

B

C

I

I

E

E

B

F

B

F

F

C

I

E

E

A

E

 

 

 

 

 

 

 

 

 

 

 

 

a)

Prepare a summary table for field chosen.

(3)

b)

Calculate percentage and sectarian angle of each field.

(3)

c)

Represent the information in b) on a pie chart.

(3)

d)

Draw a bar chart to represent the field chosen.

(3)

 

 

Pertimbangkan bidang pengajian dipilih yang diperolehi daripada suatu sampel rawak mudah 50 lepasan sekolah sekitar Lembah Kelang seperti yang ditunjukkan dalam Jadual 1.

 

A – Arkitek                        B – Perniagaan                 C – Komunikasi

E – Kejuruteraan              F – Foundation                I – IT

 

a)

Sediakan satu jadual rumusan bagi bidang yang dipilih.

 

b)

Kirakan peratusan dan sudut sektor bagi setiap bidang

 

c)

Persembahkan maklumat di b) dalam suatu carta pai.

 

d)

Lukis satu carta bar untuk mewakili bidang yang dipilih.

 

QUESTION 2/SOALAN 2

Data in Table 2 represents the lifespan (in year) for a sample of 36 batteries used in an industrial.

 

Table 2/Jadual 2

4.1

5.2

2.8

4.9

5.6

4.0

4.1

4.3

5.4

4.5

6.1

3.7

2.3

4.5

4.9

5.6

4.3

3.9

3.2

5.0

4.8

3.7

4.6

5.5

1.8

5.1

4.2

6.3

3.3

5.8

4.4

4.8

3.0

4.3

4.7

5.1

Based on the data,

 

 

 

 

 

 

 

 

a)

construct a frequency distribution. Take 0.8 as a class width and 1.8 as a lower limit of the first class.

(4)

b)

draw a histogram and frequency polygon.

(6)

c)

state the modal class of the distribution.

(2)

 

 

Data dalam Jadual 2 mewakili jangka hayat (dalam tahun) bagi suatu sampel 36 bateri yang digunakan dalam sebuah industri.

Berdasarkan data tersebut,

 

a)

bina sebuah jadual taburan kekerapan. Ambil 0.8 sebagai lebar kelas dan 1.8 sebagai had bawah kelas pertama

 

b)

lukiskan sebuah histogram dan poligon kekerapan.

 

 

c)

Nyatakan kelas mod bagi taburan tersebut.

 

QUESTION 3/SOALAN 3

Table 3/Jadual 3 

40

35

29

43

41

32

30

38

25

38

 

 

Refer to the data in Table 3 above. Calculate the following:

 

a)

mean

(2)

b)

mode

(2)

c)

median

(3)

d)

interquartile range.

(4)

 

 

 

 

 

Rujuk kepada data di dalam Jadual 3 di atas. Kirakan yang berikut:

 

a)

min

 

b)

mod

 

c)

median

 

d)

julat antara kuartil

 

 

 

 

QUESTION 4/SOALAN 4 

Consider the population all youngsters (age 18-22) in Malaysia and the following events:

 F = “the youngster has a Facebook account”

T = “the youngster has a Twitter account”

The following information is the result of an extensive survey:
70% of all youngsters have a Facebook account, 40% has a Twitter account and 20% has both. 

  1. Draw a Venn diagram for the population and the events (2)
    b. Answer the following questions:
  2.  What is the probability that a youngster has a Facebook or a Twitter account             
  3. What is the probability that a youngster has only a Facebook account                                

    iii.  What is the probability that a youngster has no Facebook nor a Twitter account              

  1. What is the probability that a Facebook user has a Twitter account as well
  2. Are the events F and T independent 

In the mentioned survey the researchers also informed about their social status: 60% were studying (event A) and 40% were not. The researchers reported furthermore that 80% of the students used a smartphone (event B) , where only 55% of the non-students used such a device. Solve the following:

  1. Compute the probability that the youngster uses a smartphone (4)
  2. If a youngster having a smartphone, what is the probability he is studying?
    Compare the answer to the 60% proportion of students in the population and explain the
         difference.                                                                                                                                                                   (4)
 

Pertimbangkan populasi anak muda (umur 18-22) di Malaysia dan peristiwa berikut:

  F = "anak muda mempunyai akaun Facebook"

 T = "anak muda mempunyai akaun Twitter"

Maklumat berikut adalah hasil tinjauan yang luas:

70% daripada semua anak muda mempunyai akaun Facebook, 40% mempunyai akaun Twitter dan 20% mempunyai keduanya.

  1. Lukis rajah Venn untuk populasi dan peristiwa tersebut. (2)
  2. Jawab soalan berikut:
  3. Apakah kebarangkalian seorang anak muda mempunyai Facebook atau akaun Twitter?
  4. Berapakah kebarangkalian seorang anak muda mempunyai akaun Facebook sahaja?

    iii. Apakah kebarangkalian seorang anak muda tidak mempunyai Facebook atau

          Akaun Twitter

  1. Apakah kebarangkalian bahawa pengguna Facebook mempunyai akaun Twitter juga
  2. Adakah peristiwa F dan T adalah tidak bersandar

Dalam kaji selidik yang disebutkan, para penyelidik juga memaklumkan mengenai status sosial mereka: 60% sedang belajar (peristiwa A) dan 40% tidak. Para penyelidik melaporkan lebih lanjut bahawa 80% pelajar menggunakan telefon pintar (peristiwa B), dengan hanya 55% daripada pelajar yang tidak menggunakan peranti sedemikian. Selesaikan perkara berikut:

  1. Kirakan kebarangkalian bahawa anak muda menggunakan telefon pintar
  2. Jika seorang anak muda yang mempunyai telefon pintar, apakah kebarangkalian dia sedang
    belajar?  Bandingkan jawapan kepada 60% perkadaran pelajar dalam populasi dan terangkan
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