Unit Test — Unit test Answers

25 verified answers4 views

Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item.

A and B are independent events because P(A∣B) = P(A).

A and B are independent events because P(A∣B) = P(B).

A and B are not independent events because P(A∣B) ≠ P(A).

A and B are not independent events because P(A∣B) ≠ P(B).

Free Preview

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

The probability that event B occurs is 17%.

The probability that event B occurs is 83%.

The probability that event A occurs, given that event B occurs, is 83%.

The probability that event B occurs, given that event A occurs, is 83%.

In the Venn diagram, consider U = {whole numbers 1 – 100}.Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths, or numbers with a fourth root that is an integer.

16, 81

1, 16, 81

1, 4, 9, 16, 25, 36, 49, 81, 100

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent.What is the probability that Josephine hits a single or a double when she is at bat?

3 percent

10 percent

20 percent

75 percent

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.What is the probability that a ticket that is randomly chosen will award a larger prize?

Two-fifteenths

One-fifth

Five-ninths

Five-sixths

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

{x|x ∈ U and is prime}

{x|x ∈ U and 2x is prime}

{x|x ∈ U and can be written as a fraction}

{x|x ∈ U and 2x can be written as a fraction}

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

41%

59%

77%

83%

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 = {6}

A = {1, 3, 5, 7}

A = {1, 2, 3, 4, 5, 7, 8}

A = {1, 2, 3, 4, 5, 6, 7, 8}

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.

A and B are independent events because P(A∣B) = P(A) = 0.16.

A and B are independent events because P(A∣B) = P(A) = 0.75.

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

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

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?

0.09

0.15

0.30

0.60

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

Two-ninths

One-half

Two-thirds

Five-sixths

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.

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 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.

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.

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.

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.

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.

0.23

0.35

0.44

0.52

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).

25%

33%

40%

67%

Which probabilities are correct? Select two options.

P(A|C) =

P(C|B) =

P(A) =

P(C) =

P(B|A) =

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?

The probability that Christina will choose three comedies can be expressed as .

The probability that Christina will choose three action movies can be expressed as .

The probability that Christina will not choose all comedies can be expressed as 1 − .

The probability that Christina will not choose all action movies can be expressed as 1 − .

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.

Z and B are independent events because P(Z∣B) = P(Z).

Z and B are independent events because P(Z∣B) = P(B).

Z and B are not independent events because P(Z∣B) ≠ P(Z).

Z and B are not independent events because P(Z∣B) ≠ P(B).

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

P(buys lunch | male) = P(male) = 0.4.

P(male | buys lunch) = P(male) = 0.3.

P(buys lunch | male) = 0.3 and P(male) = 0.4.

P(male | buys lunch) = 0.4 and P(male) = 0.3.

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

A ⊂ B

B ⊂ A

Ac = B

Bc = A

Did you find these answers helpful?

Unit Test — Unit test Answers

More from this Course

TRY EDGENUITY HACKS