Statistics Worksheet With Answer Key Page 16
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2083) The table below shows the soft drinks
89) A pollster wants to minimize the effect the
preferences of people in three age groups.
order of the questions has on a personʹs
cola root beer lemon-
response to a survey. How many different
under 21 years of age
40
25
surveys are required to cover all possible
between 21 and 40
35
20
arrangements if there are 5 questions on the
over 40 years of age
20
30
survey?
A) 5
B) 24
If one of the 255 subjects is randomly selected,
C) 25
D) 120
find the probability that the person is over 40
years of age.
90) A tourist in France wants to visit 10 different
1
3
2
1
cities. If the route is randomly selected, what is
A)
B)
C)
D)
3
5
5
2
the probability that she will visit the cities in
alphabetical order?
1
Evaluate the expression.
A) 3,628,800
B)
100
10!
84)
4!
1
1
C)
D)
3,628,800
10
A) 40,000
B) 151,200
5
91) A class has 11 students who are to be assigned
C) 2!
D)
2
seating by lot. What is the probability that the
students will be arranged in order from
shortest to tallest? (Assume that no two
Solve the problem.
students are the same height.)
85) There are 8 members on a board of directors. If
A) 0.00000025
B) 0.00000003
they must form a subcommittee of 5 members,
C) 0.1000
D) 0.00000028
how many different subcommittees are
possible?
92) How many ways can an IRS auditor select 4 of
A) 56
B) 120
10 tax returns for an audit?
C) 6720
D) 32,768
A) 5040
B) 210
C) 24
D) 10,000
86) How many 5-digit numbers can be formed
using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of
93) 8 basketball players are to be selected to play
digits is not allowed?
in a special game. The players will be selected
A) 119
B) 120
from a list of 27 players. If the players are
C) 16,807
D) 2520
selected randomly, what is the probability that
the 8 tallest players will be selected?
87) How many ways can 6 people be chosen and
8
1
arranged in a straight line if there are 8 people
A)
B)
27
2,220,075
to choose from?
1
1
A) 40,320
B) 20,160
C)
D)
40,320
213,127,200
C) 720
D) 48
88) A musician plans to perform 11 selections. In
Evaluate the expression.
how many ways can she arrange the musical
94) 8 P 4
selections?
A) 2
B) 70
A) 39,916,800
B) 121
C) 4
D) 1680
C) 11
D) 479,001,600
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