probstat - jan 09
TRANSCRIPT
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8/10/2019 ProbStat - Jan 09
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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
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' 1. ] a.
I t
Khalid as4 shirts, tiesand
wayscan
he choose o
dress
a certain
ccasion?
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f BB 2123|EAB 123
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3 pairsof pants. n howmanydifferent
himselfusing
shirt, ie and
pants
for
ts t / l
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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?
-
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i ; ' t 'hmarksl
L5
ii.
one
particular
hysicist
must
be in the
committee?
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8/10/2019 ProbStat - Jan 09
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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"