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CUMULATIVE TEST REVIEW
Probability
Statistics
Chapter 7
PROBABILITY QUESTION ONE
• A spinner has twenty equal-size sections
numbered from 1 to 20. If you spin the
spinner, what is the probability that the
number you spin will be a multiple of 2 or a
multiple of 3?
• Are these events mutually exclusive, why or
why not?
PROBABILITY QUESTION ONE
13
20
No, the events can happen at the
same time for example,
6 is a multiple of 2 and of 3.
PROBABILITY QUESTION TWO
• A spinner has twenty equal-size sections
numbered from 1 to 20. If you spin the
spinner, what is the probability that the
number you spin will be an even number or
15?
• Are these events mutually exclusive, why or
why not?
PROBABILITY QUESTION TWO
11
20
Yes, the events can not happen at
the same time.
PROBABILITY QUESTION THREE
• A bag contains 20 blue marbles, 40 purple
marbles, 10 white marbles, 10 red marbles
and 5 green marbles. You will pick one marble
from the bag. What is the probability that the
marble will be purple?
Probability Question Three
8
17
PROBABILITY QUESTION FOUR
• A bag contains 20 blue marbles, 40 purple
marbles, 10 white marbles, 10 red marbles
and 5 green marbles. You pick two marbles
from the bag ( assume the first marble was
not returned to the bag.) What is the
probability of picking two blue marbles from
the bag?
PROBABILITY QUESTION FOUR
19
357
PROBABILITY QUESTION FIVE
• There are 10 different bowlers on the bowling
team. How many different ways can the first
three places be determined?
PROBABILITY QUESTION FIVE
10g9g8  720
STATISTICS QUESTION ONE
12, 18, 22, 25, 27, 30, 31, 65
• Find the mean, median, and quartile values of
the data.
• Is the mean or the median the best
representation of the data, explain.
STATISTICS QUESTION ONE
•
•
•
•
•
The mean is 28.75.
The median is 26.
Quartile One is 20.
Quartile Three is 30.5
The median is the best measure because it is
not impacted by the outlier as much as the
mean.
STATISTICS QUESTION TWO
• A set of data with a mean of 65 and a
standard deviation of 2.6 is normally
distributed.
What is the value 2 standard deviations above
the mean?
STATISTICS QUESTION TWO
70.2
CHAPTER 7 QUESTION ONE


1
16x y z
8
4 2
2
CHAPTER 7 QUESTION ONE
1
4x y z
4 2
CHAPTER 7 QUESTION TWO
3
27x y
6
9
CHAPTER 7 QUESTION TWO
3x y
2
3
CHAPTER 7 QUESTION THREE
5 18  2 2
CHAPTER 7 QUESTION THREE
13 2
CHAPTER 7 QUESTION FOUR
23 3
5 3
CHAPTER 7 QUESTION FOUR
19  17 3
22
CHAPTER 7 QUESTION FIVE
1
(3x  7)  1  x
2
CHAPTER 7 QUESTION FIVE
x6
CHAPTER 7 QUESTION SIX
10x  4  4x  2
CHAPTER 7 QUESTION SIX
x1
CHAPTER 7 QUESTION SEVEN
• Graph
3
f(x)  x  1  3
• State the domain and range
CHAPTER 7 QUESTION SEVEN
• Domain: All Reals
• Range: All Reals
CHAPTER 7 QUESTION EIGHT
• Given
•
•
•
•
f(x)  x  3  1
Describe the horizontal shift.
Describe the vertical shift.
What is the domain?
What is the range?
CHAPTER 7 QUESTION EIGHT
•
•
•
•
A)
B)
C)
D)
3 left
1 down
x ≥ -3
y ≥ -1
CHAPTER 7 QUESTION NINE
• f(x) = x + 4 and g(x) = 3x - 1
• Find: f(x) + g(x)
CHAPTER 7 QUESTION NINE
4x  3
• Domain: All Reals
CHAPTER 7 QUESTION TEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find:
g(x)
f(x)
CHAPTER 7 QUESTION TEN
3x  1
x4
• Domain: All reals except -4.
CHAPTER 7 QUESTION ELEVEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find: g(f(x))
CHAPTER 7 QUESTION ELEVEN
3x  11
CHAPTER 7 QUESTION TWELVE
• Find the inverse of
f(x)  (x  3)2 .
CHAPTER 7 QUESTION TWELVE
y  3  x