AnswersConcepts in Probability and Statistics AProbability and Two-Way Tables

Probability and Two-Way Tables — Unit test Answers

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James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.Bring lunch: 46 males, 254 femalesBuy lunch: 176 males, 264 females

A
P(buys lunch | male) = P(male) = 0.4.
B
P(male | buys lunch) = P(male) = 0.3.
C
P(buys lunch | male) = 0.3 and P(male) = 0.4.
D
P(male | buys lunch) = 0.4 and P(male) = 0.3.
2
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A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

Question illustration
A
graph A
B
graph B
C
graph C
D
graph D
3

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
4

Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.16.
A
A and B are independent events because P(A∣B) = P(A) = 0.75.
A
A and B are not independent events because P(A∣B) = 0.16 and P(A) = 0.75.
A
A and B are not independent events because P(A∣B) = 0.75 and P(A) = 0.16.
5

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
6

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 10, 110, 60, 180. The third column is labeled Y with entries 80, 44, 59, 183. The fourth column is labeled Z with entries 61, 126, 110, 297. The fifth column is labeled Total with entries 151, 280, 229, 660.

Question illustration
A
Z and B are independent events because P(Z∣B) = P(Z).
B
Z and B are independent events because P(Z∣B) = P(B).
C
Z and B are not independent events because P(Z∣B) ≠ P(Z).
D
Z and B are not independent events because P(Z∣B) ≠ P(B).
7

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

Question illustration
A
The sequence is geometric because was added to each term to get the next term.
Option A
B
The sequence is geometric because was multiplied to each term to get the next term.
Option B
C
The sequence is not geometric because was added to each term to get the next term.
Option C
D
The sequence is not geometric because 3 was multiplied to each term to get the next term.
8

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

Question illustration
2
25%
3
33%
4
40%
6
67%
9

The spinner is equally likely to land on any of the six sections.

Question illustration
A
Two-ninths
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
10

Which events are mutually exclusive? Select two options.

A
landing on a shaded portion and landing on an even number
B
landing on a shaded portion and landing on a number greater than 3
C
landing on a shaded portion and landing on a 3
D
landing on an unshaded portion and landing on an odd number
E
landing on an unshaded portion and landing on a number less than 2
11

What are the first three terms of a geometric sequence in which and the common ratio is 5?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
125, 25, 5
12

Which of the following is an arithmetic sequence?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
13

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

A
0.09
B
0.15
C
0.30
D
0.60
14

The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.Satellite Company X: 89 live, 430 recordedSatellite Company Y: 65 live, 94 recorded

A
41%
B
59%
C
77%
D
83%
15

two

Question illustration
P
P(A|C) =
Option P
P
P(C|B) =
Option P
P
P(A) =
Option P
P
P(C) =
Option P
P
P(B|A) =
Option P
16

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

A
One-eighth
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Three-fourths
Option D
17

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

A
6 courses
B
7 courses
C
8 courses
D
10 courses
18

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard.

A
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 64, 99. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 211, 256.
Option A
B
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 99, 147, 246. The fourth column is labeled Total with entries 134, 160, 294.
Option B
C
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 64, 147, 211. The fourth column is labeled Total with entries 99, 160, 259.
Option C
D
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 99, 134. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 246, 294.
Option D
19

The first three terms of a geometric sequence are shown below.What is the eighth term of the sequence?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
20

Find P(C|Y) from the information in the table.

Question illustration
0
0.4
0
0.5
0
0.7
0
0.8

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