MATH 2101/ExamII
Dr. ZABDAWI
Name
~il#1
7/10/07
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MULTIPLE CHOICE. Choosethe one alternative that best completesthe statementor answers the question.
From the information provided, create the sample spaceof possible outcomes.
Itcomes.
1) Flip a coin three times.
H
1t/T
A)HHHH1TlUHTrrH1TTHHHHTnfr
. /"'
1t/t
.f\
T
If
"
1(",
/\
1) (
/,
f'r- T ,1+
(V-t
",. 1'" ,It
f t I~
,'t T
I
B) Hn'ruT HTH HHH 1TH
TIT
1THTIT
HHH Hill HTH HTT lHH ruT 1TH TIT
~
I+-~"-,\+ItrI ~~ J \fIT JT~ tt-,TItT I1'\tt- ,T7'r
D) HHH TIT ruT HTH Hill 1TH HTH
Answer the question.
2) In a certain town, 10%of people commute to work by bicycle. If a person is selectedrandomly from
the town, what are the odds against selecting someonewho commutesby bicycle?
p(cC"'"tu)
t)
~
0 t)S
=-
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C) 1: 9
D) 1 : 10
.
,
3) Supposeyou are playing a game of chance.If you bet $7 on a certain event, you will collect $280
(including your $7 bet) if you win. Find the odds used for determining the payoff.
o~s
2. feJo -+
2'7'3\7
-
D) 280 : 287
4) b
\ (;i)"2-
-
0,'33 'B
D) 1.511
C)O
~~~~~.~)
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5) If a person is randomly selected,find the probability that his or her birth~s
leap years.
A)~
365
~ ~\'
~'ict.f~ tttL1)
~
B)~
-
C).!!.
365
=-
J
'":!>ll:1
= 0.662.
'f(A) =- \ -
3) ~
2.7.:3
8
B) 40 : 1
Find the indicated probability.
4) Find P(A), given that P(A)
A) 1.662
=
~
~(i3.t
A) 1 : 39
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B) 9 : 1O.
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2)
12
6~=1.:u=- ~~~b 5
~b~
1
not in May.
D)~
334
Ignore
5)
b
6) A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will
stop on an even number or a multiple of 3?
-
EvE7'J ", s
-
.2-,&t,t, ~\o,,1..-} ~
-
L
'3 J ~/CjJJ2.J/5
?(£ t'\-f~ : tt:\ t "'~~)
\oJ
6)
'1>
T
A) 12
7) In one town, 53% of all voters are Democrats.If two voters are randomly selectedfor a survey, find
the probability that they are both Democrats.
the probability that they are both Democrats.
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8) You
.
two
cards successively
- - ._.
-
,.,-
\
2-fc?>1
~
B) 0.530
are dealt
_. ..
(without
replacement)
D) 0.276
from
a shuffled
deck
of 52 playing
cards.Find the probability that the first card is a King and the secondcard is a queen.
~(I(,Q)-
!t-~.L
72:5"'
@
-
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oX.
1'3
1
L-
5"1
-
,...
. ~
f+
9)
\...:-.
10)
'D
-
bb'3
2
C) 13
B) 663"
8)
13
D) ""iO2
Solve the problem.
9) There are 8 members on a board of directors. If they must form a subcommitteeof 5 members,how
many different subcommitteesare possible?
~~:,~
~')
\5-#-
1
A) 120
aJ- cdtc
Qs1./)l~
e
D) 32,768
10) How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is
not allowed?
#: 15
~
jJ.,o)I~ ~(,-Ot~--~tt;-== ~ Cs ::: "5b
B) 6720
A) 16,807
L-
a 11'"3
](,..0,'1'3
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A) 1.060
7)
B) 120
~f ~
(=-~~~
,..~~~~)
C) 119
..=;
2
+rp.s
=
252-0
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,-..
~
l,TJ5
~~{J~.;
L-\
D) 1.74
C) 1.45
B) 1.64
Solve the problem.
12) Find the variance for the given probability distribution.
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A) 2.69
-
cr-'1-
e
--
2,~6
D) 2.63
C} 7.43
13) In a game,you have a 1/42 probability of winning $67 and a 41/42probability of losing $7. What is
your expectedvalue?
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~
12.
Vt..
13)
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C) $1.60
B) -$6.83
b
12)
D) $8.43
Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
14) Rolling a single die 19 times, keeping track of the numbers that are rolled.
14) -~-
A) Procedureresults in a binomial distribution.
B) Not binomial: there are too many trials.
_C)Not binomial: the trials are not independent.
@Notbinomial:
there are more than two outcomesfor eachtrial.
I\.ssumethat a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability
formula to find the probability of x successesgiven the probability p of successon a single trial.
1
15) n = 4, x = 3, P ="6
15) A)
A) 0.0231
0.0231
~
~ ('C:~ .:;- l{l( C~
,c (t \"\ (.z)'
c~ ,c
~ ('C:~
-
-
15)
C)
C) 0.0039
0.0039
--
0,. o~
0 \,~
.:::- O~
t)~
3
D)
D) 0.0116
0.0116
~
Find the indicated probability.
16) A test consistsof 10 true/false questions.To passthe test a student must answer at least 7 questions
correctly. If a student guesseson each question,what is the probability that the student will pass
the test?
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,'11 +\otr~,.. tc\o T . oooq1,(;b
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-
C) 0.117
B) 0.055
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D) 0.945
Find the standard deviation, a, for the binomial distribution which has the stated values of nand p. Round your answer
to the nearest hundredth.
17) n = 25;p =3/5
17) P
~
:\r~~
\P:-~R
~
A) a =5.72
B) 0' = 6.57
- f-'
C) (J
= 0.04
18) How many ways can the latters in the word impossible be arranged?
A) 907200
B) 90720
C) 181440
--
19)
;:::- 2\~S
~~
D) 1814400
~
\~ ~
()
+2.00
~\ 2..)
to
#=1
Supposethat
thejacpot requiresthat you selectthe correct5 numbers
between1 and47 inclusivein an exact order. Whatis the probability of
winning if you purchase3tickets?
-
«~t-Je.+,.
)
8
B) 0.0000347
C)5.43E-9
4
(,(;3 F-5
D) 6.079£-9
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