8/10/2019 ProbStat - Jan 09

1/9

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UN

VERSITI

TEKNOLOGI

PETRONAS

COURSE :

EBB21231EAB2123

ROBABILITY

ND

STATISTICS

DATE

: 16 MAY

2009

SATURDAY)

TIME i

2.30PM 5.30

PM

3

HOURS)

INSTRUCTIONS

O CANDIDATES

1.

Answer

FIVE

5)

out

of SIX

(6)

questions

rom

he

Question

ooklet.

2.

Begin

EACH

answer

n a

new

page

n

the

AnswerBooklet.

3.

Indicate

learly

nswers

hatare

cancelled,

f

any.

4.

Whereapplicable,howclearly teps aken

n

arriving t the solutions

nd

indicate

LL assu

mptions.

5.

Do

not

open his

Question

ooklet

nti l

nstructed.

Note:

There

are FOURTEEN

14)

pages

n

this

Quest ion

ooklet

ncluding

the

cover

page

and

A,ppendices.

Universi : i

Teknologi

PETRONAS

8/10/2019 ProbStat - Jan 09

2/9

' 1. ] a.

I t

Khalid as4 shirts, tiesand

wayscan

he choose o

dress

a certain

ccasion?

f')

"

,;-- f- ''?,' , L ,:,

25?

tv

[2

marks]

A/..1

)

Ac+/

,"

F;bv2'J",

?r ,

6t

5r

{ i ' } t

[2

marks]

r

f BB 2123|EAB 123

|I

I

3 pairsof pants. n howmanydifferent

himselfusing

shirt, ie and

pants

for

ts t / l

-

3,

x

t;

." r t2 .) /

t t /4)

J

(

' / ,

/

r

'' '

/a

x

lE

--

r;0

[2

marks]

[c,

+

[2

marks]

C;

xc'rvcs'? '2.x2=21/

b.

Two cards are

drawn rom a

well-shuffl,ed

rdinary

deck of 52

cards.

4

Find he

probability

hat heyare

bothaces f

the irst

card

s

i. replaced.

i2

i i. not eplaced.

c. Out of

5 mathematicians

nd

7

physicists,

committee onsisting

f

2

mathematicians

nd

3

physicists

s

to be

formed. n

how many

ways

can his

be done

f

i.

any

mathematician

nd

any

physicist

an be

ncluded?

-

r"

\ .

C' ,

o

' i ' r*n, ,"

. , ' r lor ' -

' )

i ; ' t 'hmarksl

L5

ii.

one

particular

hysicist

must

be in the

committee?

/

.? l

t@\t

\

t

( -" ,

cr

v

,

vi

.1

r

8/10/2019 ProbStat - Jan 09

3/9

EBB

2123IEAB

123

(d/

Four

nspectors

t a

film actory

re

supposed

o

stamp

he

expiration

date

on each

package

f film

at the

end of

the

assembry

ine.

ohn

who

stamps

20%

of the

packages,

ails

o

stamp

he

expiration

ate

once

n

every200

packages;

om

who

stamps

0%

of

the

packages,

fails o stamp

he expiration

ate

once

n

every

100

packages;

ef f

who

stamps

15%

of the

packages,

ails

o stamp

he

expiration

ate

once

n

every90

packages;

nd Pat

who

stamps

So/of

the

packages,

fails

to

stamp

he expiraticn

ate

once

n

every

200

packages.

f a

customer

omplains

hat

her

package

f film

does

not

show

the

expiration9ate,what s heprobabilityhat t was inspected y:John?

Consider

he events:

A

-

noexpiration

ate

81

-

John s he

nspecton

82

-

Tom s

the nspector

83

-

Jeff

s

the nspector

84

-

Pat s the nspector

-F

2-

orr

) 'h"