TEKNOLOGI P E T RO NA S

@t

C OU R S E DATE TIME

. GA B 2O13 B2133BUSINESS / SM STATISTTCS / QUANTITATIVE METHOD 27 MAY2008(TUESDAY) 2 .3 0PM- 5.30PM ( 3 hour s)

INSTRUCTIONS CANDIDATES TO 1. 2. 3. 4. 5. Answer FIVE(5)outof SIX(6)questions theQuestion from Booklet. BeginEACHanswer a newpagein theAnswer on Booklet. lndicate clearly answers arecancelled,any. that if Whereapplicable, showclearly stepstakenin arriving the solutions at and indicate ALL assumptions. Do notopenthisQuestion Booklet until instructed.

Note :

ii.

Thereare TWELVE(12)pagesin this Question Booklet including thecoverpage. Formula booklet be provided. will Univ er s j- t l Teknologi PETRONAS

UNIVERSITI

TEKNOLOGI P E T RO NA S

@t

C OU R S E DATE TIME

GA B 2O13 82133. / SM BUSINESS STATISTICS / QUANTITATIVE METHOD 27 MAY2008(TUESDAY) 2 .3 0PM- 5.30PM ( 3 hour s)

INSTRUCTIONS CANDIDATES TO

1. 2. 3. 4.

Answer FIVE(5)outof SIX(6)questions theQuestion from Booklet. BeginEACHanswer a newpagein theAnswer on Booklet. lndicate clearly answers arecancelled,any. that if Whereapplicable, showclearly stepstakenin arriving the solutions at and indicate ALL assumptions. Do notopenthisQuestion Booklet until instructed.

5.

Note :

ii.

Thereare TWELVE(12)pagesin this Question Booklet including thecoverpage. Formula booklet be provided. will Univ er s it l Teknologi PETRONAS

a

GAB2013/ B2133 SM Answerany FIVE(5) questions.

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TABLE Ql reportsa frequency distribution mobilephone bills for a of sample 50 students Perakduringthe monthof April2008. of in T A BLEQl: M obile Phone Bills Amount(RM) 8 0 u p to 1 0 0 Frequency

| |

3

100upto 120

1 2 0u p to 1 40 1 4 0 u p to 1 60 1 6 0u p to 1 80 1 8 0u p to 2 00

I

| | | |

8

12 16 7 4

questions. Basedon the abovedata,answer following the i. phone th C a l cu l a te e me a nof the m obile bills. [3 marks] ii. the Calculate standard deviation. [3 marks] iii. Use the Empirical Ruleto estimate proportion billswithintwo the of standard deviations the mean.Whatare theselimits? of i o ' iV *i 'tzd tr, -

t3 marksl

2

' , GAB2013/ B2133 SM

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iv.

According Chebyshev to Theorem leastwhat percent the bills at of w i l ll i e b e tw e e n M 101 and 180.56? R .84 [3 marks]

v.

Calculate rangeof the sample? the [2 marks]

vi.

youranswer. Whatis the mode?Interpret [2 marks]

v i i.

yo C o mp a re u r ca l culated ean and m ode.W hat conclusion m can you makewith regards the skewness? to [2 marksj

viii.

Whatis the probability a student's will exceedRM 160? that bill [2 marks]

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GAB2013/SM B2133

2.

a.

purchased typesof mutual An investor two fund namelylttikal Fund and lslamicDividend Fund.The objective was to achievesteady growth capital overthe medium longterm periodby investing a to in portfolio investments of that complywith ShariahPrinciples. The probabilitythat the funds will appreciate are 0.7 and 0.6 respectively. What is the probability bothfundswill appreciate that during the period? [2 marks] ii.

What is the probability that lttikalFund will appreciate but l sl a mi c i vi dend D Fundwillnot appr eciate ing per iod? dur the [3 marks]

ilt .

What is the probability that at least one of the funds will appreciate? [3 marks]

b.

UniPrestige classifies graduates FirstClass,SecondClass her as Upperand SecondClassLowerin the proportions 30 percent, of 50 percentand 20 percentrespectively. UniPrestige very proudof is their graduates' employability. The probabilitya First Class g ra d u a te s u n e mployed m onthsafter gr aduation 0.01, the i 3 is probability SecondClassUppergraduate unemployed months is 3 after graduation 0.03 and the probability is SecondClass Lower g ra d u a te s u n e mployed m onthsafter gr aduation 0.10. M r i 3 is Azman,a fresh graduate from UniPrestige unemployed is after 3 mo n th s f g ra d u a tion. o i. Wh a t i s th e pr...