Download Probability and Statistics Review #2 Name: ______ Algebra IIB Date

Probability and Statistics Review #2
Algebra IIB
Name: ____________
Date: ____________
Select the best answer.
1. A bank requires that its customers
create a PIN to access their account.
The PIN must be 2 letters followed by 2
numbers. How many unique PINs are
there?
A 520
C 67,600
B 10,000
D 456,976
2. When making a fruit salad, a chef
chooses 4 fruits from 8 that are in
season. How many different fruit salads
can the chef create?
F 70
H 10,080
G 1680
J 40,320
3. A debate team surveyed its members’
ages, resulting in the data set: 15, 16,
15, 17, 15, 16, 14, 16, 14, 17, 15, 15,
16, 16, 17. What is the experimental
probability that a member chosen at
random is younger than 16?
A 0.200
C 0.467
B 0.333
D 0.800
4. Jillene wrapped 5 gifts for her 5
cousins. If she gives them out
randomly, what is the probability that
every cousin gets the right present?
1
F
125
1
H 25
1
1
G
J 5
120
5. Using a fair coin and a fair six-sided
number cube, what is the probability of
tossing tails and rolling a multiple of 3?
F
1
6
H
1
2
3
8
G
J
5
6
6. A DJ for a school dance has a CD with
6 slow songs and 5 fast songs on it. As
he plays each song he removes it from
the play list. What is the probability that
the first two songs he plays are slow?
A
3
11
C
36
121
B
30
121
D
18
55
7. 6 friends go out for dinner and order
from a menu of 8 different sandwiches.
What is the probability that at least 2 of
the group order the same sandwich?
F 0.0769
H 0.7500
G 0.2016
J 0.9231
8. The table below shows the distribution
of favorite colors by gender in a class.
Gender
Blue
Red
Green
Boys
8
2
4
Girls
2
7
2
Which is the probability that a student
chosen at random is a boy that likes
green?
A 0.66
C 0.16
B 0.29
D 0.04
9.Use the table from Question 8. Which is
the probability that a student chosen at
random is a girl and does not like red?
F 0.16
H 0.72
G 0.28
J 0.84
10. Which is the median of the data set
{1, 4, 4, 4, 5, 8, 8, 10, 11, 11}?
A 4
C 6.6
B 6.5
D 7
15. The probability distribution of the number
of piglets per litter on a farm is given
below.
Piglet Births per Litter
11. The Nobel Prize for Physics is often
given to more than one person. The
probability distribution of the number of
winners of the Nobel Prize for Physics
from 1901 to 2004 is given below. What
is the expected number of winners?
Number of Winners n
Probability of n Winners
1
2
3
0.480
0.265
0.255
F 0.03
H 1.78
G 1.00
J 1.98
n piglets
Probability
of n piglets
4
5
6
0.2
0.4
0.4
What is the expected number of piglets
per litter on this farm?
A 4.8
C 5.2
B 5.0
D 5.8
16. Use this line graph to identify the period
that saw the greatest change in gross
revenue.
12. Which data set could be used to create
the box-and-whisker plot shown below?
A {4, 4, 4, 4, 6, 6, 8, 9, 11, 11, 11}
B {3, 4, 4, 4, 5, 7, 8, 10, 11, 12, 13}
C {2, 3, 4, 4, 5, 7, 8, 9, 11, 13, 14}
D {3, 3, 3, 4, 7, 7, 11, 11, 13, 13, 13}
13. What is the mean of the data set
{0, 2, 4, 8, 16, 36} ?
A 8.0
C 11.0
B 12.0
D 13.2
14. This data represent the number of books
Sarah read each month:
{1, 1, 3, 3, 4}.
What is the approximate standard
deviation of the data set?
A 1.2
B 2.4
A 2001–2002
C 2003–2004
B 2002–2003
D 2004–2005
17. Which type of graph would be best for
displaying this data?
Actors/Actresses with The
Most Oscar Nominations
Actor/Actress
Nominations
Meryl Streep
Katherine Hepburn
Jack Nicholson
Bette Davis
Laurence Olivier
13
12
12
10
10
F bar graph
H histogram
G circle graph
J line graph
18. This stem-and-leaf
plot gives the
Stem Leaves
number of gold
0 99
medals won by ten
1 01467
countries during the
2 7
2004 Olympics.
3 25
Which data set is
Key: 3 | 2 means 32
plotted?
21. What is wrong with this histogram?
A {0, 1, 2, 4, 5, 6, 7, 7, 9, 9}
B {1, 11, 23, 41, 53, 61, 71, 72, 90, 90}
C {9, 9, 10, 11, 14, 16, 17, 27, 32, 35}
A The bar for 40–44 is too short
and the bar for 45–49 is too tall.
D {27, 99, 325, 101, 467}
B The bar for 50–54 is too tall.
C The bar for 50–54 is too short
and the bar for 55–59 is too tall.
The ages of the U.S. Presidents that
were inaugurated during the 1900’s
are given below. Use this data for
questions 19–22.
D The bar for 55–59 is too short.
22. Find the mean, median, and mode.
(Round answers to the nearest tenth.)
Ages at Inauguration
42 51 56 55 51 54 51 60 62
43 55 56 61 52 69 64 46
mean
median
mode
F
54.6
55
51
G
54.6
62
51
Ages Freq.
H
55
54.6
no mode
41–50
51–60
61–70
J
55
55
no mode
19. Which frequency table reflects the data?
F
H
Ages
Freq.
41–50
51–60
61–70
3
4
5
G
3
10
4
J
Ages
Freq.
41–50
51–60
61–70
3
9
5
Ages Freq.
41–50
51–60
61–70
6
8
3
20.What, if anything, is wrong with this boxand-whisker plot?
An experiment
consists of spinning
a spinner. Use these
results for questions
23 and 24.
Outcome Freq.
Red
4
Green
10
Blue
6
23. What is the experimental probability that
the spinner lands on red?
A 4%
C 25%
B 20%
D 40%
24. If Angie spins the spinner 250 times,
predict the number of times it will land
on green.
A The value of Q1 is incorrect.
B The value of the median is incorrect.
C The value of Q3 is incorrect.
D The boxplot is correct.
F 10
H 50
G 25
J 125
25.This graph shows how Russell spends his
income each month. Explain why the
graph is misleading.
28. A number cube is rolled 2 times in a row.
What is the probability of rolling a multiple
of 3 both times?
1
36
1
B
18
A
1
15
1
D
9
C
29. A game board has 8 cards, and 2 say
WIN. Mayela picks 2 cards without
replacing the first. What is the probability
that neither say WIN?
F The entertainment sector is too small
relative to the groceries sector.
G The rent sector is too large relative to
the entertainment sector.
H The sample size is too small.
J The sectors do not add to 100%.
26. Find the theoretical probability of
randomly choosing a vowel from
the letters in EXPERIMENT.
1
5
3
B
10
A
2
5
3
D
5
C
27. The probability of picking a red marble
from a bag is
2
What are the odds
7
against picking a red marble?
F 2:5
H 5:7
G 5:2
J 7:5
F
15
32
H
9
16
G
15
28
J
9
14
30.Which are independent events?
A Two number cubes are rolled.
B A coin is drawn from a jar, set aside,
and then another coin is drawn.
C Two freshmen are chosen for a class
project.
D 20 students are selected for the
baseball team.