AnswersConcepts in Probability and Statistics AProbability and Two-Way Tables

Probability and Two-Way Tables — Unit test Answers

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1
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Which could be a conditional relative frequency table?

A
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.25, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option A
B
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.35, 0.30. The third column is labeled B with entries 0.75, 0.65, 0.70. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option B
C
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.75, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.75, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.
Option C
D
A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.65, 0.35, 1.0. The third column is labeled B with entries 0.35, 0.65, 1.0. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Option D
2
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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%
3

A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are even. The number 8 was generated 22 times.What is the experimental probability of an even number other than 8 being generated? Write your answer as a decimal to the nearest hundredths place.

0
0.23
0
0.35
0
0.44
0
0.52
4

Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?

A
1
B
2
C
3
D
4
5

A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

A
There is likely an association between the categorical variables because the relative frequencies are similar in value.
B
An association cannot be determined between the categorical variables because the relative frequencies are similar in value.
C
An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.
D
There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.
6

Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?

A
84
B
504
C
3,024
D
60,480
7

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.
8

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.Which shows subset A?

A
A = {6}
B
A = {1, 3, 5, 7}
C
A = {1, 2, 3, 4, 5, 7, 8}
D
A = {1, 2, 3, 4, 5, 6, 7, 8}
9

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.
10

Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?

A
Kira used an observational study where the data is qualitative.
B
Kira used an observational study where the data is quantitative.
C
Kira used published data that is qualitative.
D
Kira used published data that is quantitative.
11

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

Question illustration
A
motor ⋃ manual
B
motor ⋃ bicycle
C
motor ∩ manual
D
motor ∩ bicycle
12

The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.

Question illustration
A
The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.
B
The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
C
The data is skewed and shows that he typically sent about 6 to 8 text messages per day.
D
The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
13

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
14

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
15

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
16

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

Question illustration
0
0.4
0
0.5
0
0.7
0
0.8
17

A relative frequency table is made from data in a frequency table.

Question illustration
A
25%
B
33%
C
63%
D
68%
18

Which values are correct? Select three options.

A
a = 15
B
b = 18
C
c = 23
D
d = 35
E
e = 31
19

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
24
B
27
C
36
D
40
20

Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield the most biased results?

A
every tenth boy on the school’s phone list
B
every member of the boys’ basketball team
C
every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class
D
every fifth boy who walks through the front doors of the school in the morning

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