Question 1

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-In a sample of 1000 students majoring in the humanities, 660 were female. The 66% (660/1000) chance of a humanities major being female is a

Accepted Answer

The probability is based on actual data from a sample (660 out of 1000 students), making it a relative frequency probability, which is determined by the ratio of the number of times an event occurs to the total number of trials or observations.

Question 2

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-A quarter is flipped 2000 times and results in 500 heads. The 25% (500/2000) chance of heads is a

Accepted Answer

The 25% chance of heads is a relative frequency probability because it is based on the actual outcome of flipping a quarter 2000 times, which is an empirical method of determining probability.

Question 3

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-Among 5000 new tires sold by a tire company, 20% (1000/5000) lasted more than 100,000 miles. The 20% chance that a new tire will last more than 100,000 miles is a

Accepted Answer

The 20% chance is based on actual data (1000 out of 5000 tires lasted more than 100,000 miles), making it a relative frequency probability.

Question 4

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-A football fan believes that the Oakland Raiders have a 50% chance of winning the next Super bowl. The 50% is a

Accepted Answer

The 50% chance of winning the next Super Bowl as believed by the football fan is a subjective probability because it is based on personal judgment or opinion, rather than on objective data or statistical analysis.

Question 5

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-A college basketball player has made 53% of his shots from 3-point range. The probability that he will make a 3-point shot, 53%, is a

Accepted Answer

The probability is based on past performance data (53% of shots made), which is a characteristic of relative frequency probability. It's calculated from the actual outcomes of his shots, not a personal judgment or belief.

Question 6

Use the following information for questions:
 For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability.
-A recent college graduate claims he only has a 30% chance of finding a job in the next two months. The chance of 30% is a

Accepted Answer

This is a subjective probability because it is based on the individual's personal judgment or belief about the likelihood of finding a job, rather than on empirical data or statistical analysis.

Question 7

Use the following information for questions:
 In the past five years, only 5% of pre-school children did not improve their swimming skills after taking a Beginner Swimmer Class at a certain Recreation Center.
-The probability of 5% that a pre-school child who is taking this swim class will not improve his/her swimming skills is a

Accepted Answer

The probability is based on the historical data of the children's performance in the swim class, making it a relative frequency probability. This type of probability is calculated from the actual occurrence of events.

Question 8

Use the following information for questions:
 In the past five years, only 5% of pre-school children did not improve their swimming skills after taking a Beginner Swimmer Class at a certain Recreation Center.
-What is the probability that a pre-school child who is taking this swim class will improve his/her swimming skills?

Accepted Answer

Since 5% did not improve, the probability that a child will improve is 100% - 5% = 95%.

Question 9

A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?"The answer to this question for an individual student is an example of

Accepted Answer

This question asks for a student's personal assessment of their own likelihood of leaving school before graduation, which is a subjective judgment or belief about a single event's outcome, fitting the definition of a personal probability.

Question 10

A thumbtack is tossed repeatedly and observed to see if the point lands resting on the floor or sticking up in the air. The goal is to estimate the probability that a thumbtack would land with the point up. That probability is an example of

Accepted Answer

The probability is based on long-run observation of the thumbtack's outcomes (point up or down) when tossed repeatedly.

Question 11

Which of the following is an example of a relative frequency probability based on measuring a representative sample and observing relative frequencies of possible outcomes?

Accepted Answer

Relative frequency probability is based on actual data from a sample or past events. Option C uses data from a poll, which is a representative sample, to determine the probability.

Question 12

A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?"The answer to this question for an individual student is an example of

Accepted Answer

This question is asking for a subjective or personal assessment of the likelihood of an event (leaving school before graduation), which is an example of a personal probability. Personal probabilities are based on an individual's judgment or belief about how likely an event is to occur, rather than on long-term frequency or physical assumptions.

Question 13

Students at a university who apply for campus housing can be assigned to live in a dormitory room, a suite in a dormitory or an apartment. If Alice has a 0.30 chance of being assigned to a dormitory room and a 0.50 chance of being assigned to a suite in a dormitory, what is the probability that she will be assigned to an apartment?

Accepted Answer

The answer of Students at a university who apply for...

Question 14

When a fair coin is tossed two times, there is a 25% chance of getting 0 heads and a 50% chance of getting 1 head. What is the chance of getting 2 heads?

Accepted Answer

The answer of When a fair coin is tossed two...

Question 15

When 2 cards are drawn at random from a standard 52-card deck, there is a 0.8507 chance of drawing 0 Aces, and a 0.1448 chance of drawing 1 Ace. What is the chance of drawing 2 Aces?

Accepted Answer

The answer of When 2 cards are drawn at random...

Question 16

A plane flies over the ocean in search of schools of fish. On any given day, there is a 0.07 chance of finding 2 or more schools of fish, and a 0.28 chance of finding only one school of fish. What is the chance the day of searching results in not finding any schools of fish at all?

Accepted Answer

The answer of A plane flies over the ocean in...

Question 17

When two dice are rolled, there are 36 possible outcomes. Six of these outcomes have two the same numbers (two ones, two twos, etc.). The chance of getting two of the same numbers when rolling two dice is 6/36 or 0.1667. What is the chance of getting 2 numbers that are different from one another?

Accepted Answer

The answer of When two dice are rolled, there are...

Question 18

Every year, on the first day of school, the sixth grade teacher at Greenville Middle School asks his students to pick their favorite primary color: red, yellow, or blue. From years of experience, the teacher knows that only 1 in 7 students choose yellow and that about half of the students pick blue. What is the chance that a student picks red?

Accepted Answer

The answer of Every year, on the first day of...

Question 19

The lifetime risk for a woman to develop breast cancer is estimated to be about 1 in 8. Express this probability as a fraction, as a proportion, and as a percentage.

Accepted Answer

The answer of The lifetime risk for a woman to...

Question 20

Use the following information for questions:
 A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona, and Leila) and one male assistant (Josh). Each TA teaches one discussion section.
-A student picks a discussion section. The two events W = {the TA is a woman} and J = {the TA is Josh} are

Accepted Answer

Events W and J are disjoint (mutually exclusive) because if a student picks a discussion section taught by Josh (event J), then the TA cannot be a woman (event W), and vice versa. This means these two events cannot happen at the same time.

Quiz 7: Probability

Use the following information for questions: For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability. -A quarter is flipped 2000 times and results in 500 heads. The 25% (500/2000) chance of heads is a

Use the following information for questions: For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability. -A football fan believes that the Oakland Raiders have a 50% chance of winning the next Super bowl. The 50% is a

Use the following information for questions: For each situation, decide if the probability described is a subjective (personal) probability or a relative frequency probability. -A recent college graduate claims he only has a 30% chance of finding a job in the next two months. The chance of 30% is a

A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?"The answer to this question for an individual student is an example of

A thumbtack is tossed repeatedly and observed to see if the point lands resting on the floor or sticking up in the air. The goal is to estimate the probability that a thumbtack would land with the point up. That probability is an example of

Which of the following is an example of a relative frequency probability based on measuring a representative sample and observing relative frequencies of possible outcomes?

A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?"The answer to this question for an individual student is an example of

When a fair coin is tossed two times, there is a 25% chance of getting 0 heads and a 50% chance of getting 1 head. What is the chance of getting 2 heads?

When 2 cards are drawn at random from a standard 52-card deck, there is a 0.8507 chance of drawing 0 Aces, and a 0.1448 chance of drawing 1 Ace. What is the chance of drawing 2 Aces?

A plane flies over the ocean in search of schools of fish. On any given day, there is a 0.07 chance of finding 2 or more schools of fish, and a 0.28 chance of finding only one school of fish. What is the chance the day of searching results in not finding any schools of fish at all?

When two dice are rolled, there are 36 possible outcomes. Six of these outcomes have two the same numbers (two ones, two twos, etc.). The chance of getting two of the same numbers when rolling two dice is 6/36 or 0.1667. What is the chance of getting 2 numbers that are different from one another?

The lifetime risk for a woman to develop breast cancer is estimated to be about 1 in 8. Express this probability as a fraction, as a proportion, and as a percentage.