AnswersGeometry Concepts and ConnectionsProbability and Statistics

Probability and Statistics — Test Answers

25 verified answers
1
Free Preview

Which statement is true about whether Z and B are independent events?

A
Z and B are independent events because P times open paren Z divides B close paren is equal to P times B .
B
Z and B are not independent events because P times open paren Z divides B close paren is not equal to P times Z .
C
Z and B are not independent events because P times open paren Z divides B close paren is not equal to P times B .
D
Z and B are independent events because P times open paren Z divides B close paren is equal to P times Z .
2
Free Preview

A spinner is divided into eight equal-sized sections, numbered from 1 to 8 , inclusive. What is true about spinning the spinner one time? Choose three correct answers.

A
If cap A is a subset of cap s , cap A could be start set 1 comma 2 comma 3 end set .
B
cap s is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8
C
If a subset cap A represents the complement of spinning an odd number, then cap A is equal to 2 comma 4 comma 6 comma 8 .
D
If cap A is a subset of cap s , cap A could be start set 7 comma 8 comma 9 end set .
E
If a subset cap A represents spinning a number less than 4 ,then cap A is equal to 1 comma 2 comma 3 comma 4 .
3

Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black. He draws 1 sock out of the bag, replaces it, and then draws another sock. What is the probability that he will draw a black sock and then a red sock, cap p times open paren black comma then red close paren ?

A
3 twenty-fifths
B
1 twenty-fifth
C
3 fifteenths
D
1 fifteenth
4

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. Which two-way table correctly displays these data?

A
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '99'; Column 4, '134' Row 3: Column 1, 'No Skateboard'; Column 2, '13'; Column 3, '147'; Column 4, '160' Row 4: Column 1, 'Total'; Column 2, '48'; Column 3, '246'; Column 4, '294'
B
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '64'; Column 4, '99' Row 3: Column 1, 'No Skateboard'; Column 2, '13'; Column 3, '147'; Column 4, '160' Row 4: Column 1, 'Total'; Column 2, '48'; Column 3, '211'; Column 4, '259'
C
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '13'; Column 4, '48' Row 3: Column 1, 'No Skateboard'; Column 2, '99'; Column 3, '147'; Column 4, '246' Row 4: Column 1, 'Total'; Column 2, '134'; Column 3, '160'; Column 4, '294'
D
Table with 4 columns and 4 rows.Row 1: Column 1, empty; Column 2, 'Have Snowboarded'; Column 3, 'Never Snowboarded'; Column 4, 'Total' Row 2: Column 1, 'Skateboard'; Column 2, '35'; Column 3, '13'; Column 4, '48' Row 3: Column 1, 'No Skateboard'; Column 2, '64'; Column 3, '147'; Column 4, '211' Row 4: Column 1, 'Total'; Column 2, '99'; Column 3, '160'; Column 4, '256'
5

Consider the sets. cap A x divides x is a polygon cap b x divides x is a triangle Which is true?

A
cap A to the c th power is equal to cap b
B
cap A is a strict subset of cap b
C
cap b to the c th power is equal to cap A
D
cap b is a strict subset of cap A
6

Aaron, Bob, and Charlotte are running a race. Which event would be considered dependent?

A
determining the chance that Bob comes in first or third
B
determining whose coach runs the stopwatch
C
determining first, second, and third place runners
D
determining which person begins on the inside lane
7

Dependent events can best be described as

A
a group of events whose later outcomes are not affected by previous outcomes.
B
two or more events that do not have the same probabilities.
C
a group of events whose later outcomes are affected by previous outcomes.
D
two or more events that have the same probabilities.
8

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true?

A
The probability that Christina will choose three comedies can be expressed as the fraction with numerator 1 and denominator sub 4 mathrm cap c sub 3 .
B
The probability that Christina will not choose all comedies can be expressed as 1 minus the fraction with numerator 4 cap c sub 3 and denominator 20 cap c sub 4 .
C
The probability that Christina will choose three action movies can be expressed as the fraction with numerator sub 20 mathrm cap c sub 3 and denominator sub 9 mathrm cap c sub 3 .
D
The probability that Christina will not choose all action movies can be expressed as 1 minus the fraction with numerator 9 cap c sub 3 and denominator 20 cap c sub 3 .
9

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.

A
0 point 4 4
B
0 point 5 2
C
0 point 2 3
D
0 point 3 5
10

A six-sided number cube is rolled twice. Which expression can be used to find cap p times open paren 5 comma then 3 close paren ?

A
1 fifth times 1 third
B
5 sixths times 3 sixths
C
1 sixth times 1 fifth
D
1 sixth times 1 sixth
11

Consider cap u is equal to x divides x is A positive integer greater than 1 Which is an empty set?

A
start set x such that x is in cap u and 2 x can be written as A fraction end set
B
start set x such that x is in cap u and 1 half x is prime end set
C
start set x such that x is in cap u and 2 x is prime end set
D
start set x such that x is in cap u and 1 half x can be written as A fraction end set
12

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

A
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 7 comma 8
B
cap A is equal to 1 comma 3 comma 5 comma 7
C
cap A is equal to 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8
D
cap A is equal to 6
13

Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent.

A
25 percent
B
67 percent
C
40 percent
D
33 percent
14

What is cap p times open paren heAds comma then 2 close paren ?

A
1 sixth
B
5 sixths
C
1 twelfth
D
7 twelfths
15

Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3 point 1 4 for pi

A
75 percent
B
79 percent
C
22 percent
D
25 percent
16

To the nearest tenth, what is the value of cap p times open paren cap y divides cap b close paren ?

A
0 point 3
B
0 point 5
C
0 point 2
D
0 point 4
17

How many patients had allergies or ear infections, but not both?

A
24
B
40
C
27
D
36
18

Which combination represents the empty set?

A
the intersection of motor and manual
B
the union of motor and manual
C
the intersection of motor and bicycle
D
the union of motor and bicycle
19

Which probability is correct?

A
cap p times cap b is equal to 16 over 31
B
cap p times cap A is equal to 3 fifths
C
cap p times open paren cap A divides cap b close paren is equal to 2 sevenths
D
cap p times open paren cap b divides cap A close paren is equal to 10 over 21
20

The events "male” and "buys lunch” are not independent because

A
cap p times open paren male divides buys lunch close paren is equal to 0 point 4 and cap p times male is equal to 0 point 3 .
B
cap p times open paren buys lunch divides male close paren is equal to 0 point 3 and cap p times male is equal to 0 point 4 .
C
cap p times open paren male divides buys lunch close paren is equal to cap p times male is equal to 0 point 3 .
D
cap p times open paren buys lunch divides male close paren is equal to cap p times male is equal to 0 point 4 .

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Test

Quiz
25 verified answers

Test

Quiz
25 verified answers

Test