MULTIPLE CHOICE. Choose the one
alternative that best completes the statement or answers the question.
Describe the complement of the given event.
1) When 
diners have lunch, none of them orders liver
and onions.
A) When 
diners have lunch, at least one of them orders
liver and onions.
B) When diners have lunch, at least one of them orders
liver and onions.
C) When diners have lunch, all of them order liver and
onions.
D) When diners have lunch, at least of them order liver and onions.
Find the indicated probability.
2) A study conducted
at a certain college shows that 
%
of the school's graduates find a job in their chosen field within a year after
graduation. Find the probability that among 
randomly selected graduates, at least one
finds a job in his or her chosen field within a year of graduating.
A) 
B) 
C) 
D) 
3) In a blood
testing procedure, blood samples from 
people are combined into one mixture. The
mixture will only test negative if all the individual samples are negative. If
the probability that an individual sample tests positive is 
,
what is the probability that the mixture will test positive?
A) 
B) 
C) 
D) 
4) The table below describes the smoking habits of a group of asthma sufferers.
If one of the 
subjects is randomly selected, find the
probability that the person chosen is a nonsmoker given that it is a
woman. Round to the
nearest thousandth.
A) 
B) 
C) 
D) 
5) The Philadelphia plant of
the Gramlich Pharmaceutical Company manufactures 400 neuro sensors, of which 3
are defective. The New York City plant
of the same company manufactures 800 sensors, of which 2 are defective. If one of the 1200 sensors is randomly
selected and is found to be defective, what is the probability that it was
manufactured in Philadelphia?
A) 0.4 B) 0.2
C) 0.6
D) 0.8
Solve the problem.
6) A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.
0 1 
2 
0 1 2 2 1 2 1 2 2 0 3 0 2 1 1
Estimate the probability that sales will rise moderately.
A) 
B) 
C) 
D) 0.312
Evaluate the expression.
7) 
!
A) 
B) 
C) 
D) 
8) 
A) 
B) 
C) 
D) 
9) 
A) B) 
C) 
D) 
Solve the problem.
10) A state lottery
involves the random selection of six different numbers between 1 and 
.
If you select one six number combination, what is the probability that it will
be the winning combination?
A) 
B) 
C) 
D) 
11) In a certain
lottery, five different numbers between 1 and 
inclusive are drawn. These are the winning
numbers. To win the lottery, a person must select the correct 5 numbers in the
same order in which they were drawn. What is the probability of winning?
A) 
B) 
C) 
D) 
12) A tourist in
France wants to visit 
different cities. How many different routes
are possible?
A) 
B) 
C) D) 
13) A tourist in
France wants to visit different cities. If the route is randomly
selected, what is the probability that she will visit the cities in
alphabetical order?
A) B) 
C) 
D) 
14) There are 
members on a board of directors. If they must
elect a chairperson, a secretary, and a treasurer, how many different slates of
candidates are possible?
A) 
B) 
C) D)
15) There are 
members on a board of directors. If they must
form a subcommittee of members, how many different subcommittees are
possible?
A) 
B) 
C) 
D) 
16) What is
probability that a burgular randomly guesses a
security code that consists of 8 digits (0,1,...,4) that must be enterned
in the correct sequence? (digits in code can be repeated.)
A) 1/32 B) 1/390625 C) 1/65536 D) 1/6720
Solve the problem.
17) A musician plans
to perform selections. In how many ways can she arrange
the musical selections?
A) B) 
C) D)
18) How many -digit
numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of
digits is not allowed?
A) 
B) 
C) 
D)
How many distinguishable permutations of letters are possible in the
word?
19) COMMITTEE
A) 45,360 B) 362,880 C) 90,720 D) 181,440
MULTIPLE CHOICE. Choose the one
alternative that best completes the statement or answers the question.
1) B
ID: STAT8T
3.5.1-5
Page Ref:
144-145
Objective:
(3.5) Describe the Complement of the Given Event
2) D
ID: STAT8T
3.5.2-2
Page Ref: 144-145
Objective:
(3.5) Find Probability of "At Least One"
3) D
ID: STAT8T
3.5.2-5
Page Ref:
144-145
Objective:
(3.5) Find Probability of "At Least One"
4) A
ID: STAT8T
3.5.3-9
Page Ref:
145-148
Objective:
(3.5) Use Contingency Table to Find Conditional Probability
5) C
ID: USER-2
Page Ref:
Objective:
6) B
ID: STAT8T
3.6.1-4
Page Ref:
151-154
Objective:
(3.6) Use Simulation to Estimate Probability
7) D
ID: STAT8T
3.7.1-1
Page Ref:
157-158
Objective:
(3.7) Evaluate Factorial/Permutation/Combination
8) A
ID: STAT8T
3.7.1-7
Page Ref:
157-158
Objective:
(3.7) Evaluate Factorial/Permutation/Combination
9) C
ID: STAT8T
3.7.1-4
Page Ref:
157-158
Objective:
(3.7) Evaluate Factorial/Permutation/Combination
10) A
ID: STAT8T
3.7.2-5
Page Ref:
161-163
Objective:
(3.7) Find/Use Number of Combinations
11) C
ID: STAT8T
3.7.3-8
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
12) B
ID: STAT8T
3.7.3-6
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
13) D
ID: STAT8T
3.7.3-7
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
14) C
ID: STAT8T
3.7.3-5
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
15) C
ID: STAT8T
3.7.2-1
Page Ref:
161-163
Objective:
(3.7) Find/Use Number of Combinations
16) B
ID: USER-1
Page Ref:
Objective:
17) C
ID: STAT8T
3.7.3-3
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
18) A
ID: STAT8T
3.7.3-1
Page Ref:
159-161
Objective:
(3.7) Find/Use Number of Permutations
19) A
ID: FM7L
8.1.7-7
Page Ref:
384, 386
Objective:
(8.1) Find Permutations of Letters