Question 1

Which of the following is an example of a random experiment?

Accepted Answer

A random experiment is a process that leads to one of several possible outcomes, where the outcome cannot be predicted with certainty. In option A, inspecting a delivery and finding an error is a random event because the outcome (finding an error or not) is uncertain.

Question 2

________ probability is the number of events in the population that meet the condition divided by the total number in the population.

Accepted Answer

Relative frequency probability is calculated by dividing the number of events in the population that meet the condition by the total number in the population. This differs from classical probability, which assumes all events in the population are equally likely to occur, and subjective probability, which involves personal beliefs or opinions about the likelihood of an event. Therefore, relative frequency is the best choice for this definition.

Question 3

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is A ∩  ?

Accepted Answer

Event A is the event of rolling an even number, which corresponds to the set {2, 4, 6}. Therefore, A ∩ 11ea5b8a_b6e0_ee07_b1f3_3ba73cfa9dfc_TB2968_11 is just the intersection of {2, 4, 6} with the given set, which yields the set {6, 8, 10}. The only choice that contains this set is D, which is the correct answer.

Question 4

The proportion of times that an event will occur,assuming that all outcomes in a sample space are equally likely to occur,is called:

Accepted Answer

Classical probability is based on the assumption that all outcomes are equally likely and focuses on the proportion of times an event will occur in a theoretical situation. This is different from relative frequency probability, which is based on the proportion of times an event occurs in real-world situations, and subjective probability, which is based on personal beliefs or judgments. Objective probability is not a commonly used term in probability theory.

Question 5

If the union of several events covers the entire sample space,it is said these events are:

Accepted Answer

If the union of several events covers the entire sample space, it means that every possible outcome falls into one of those events. Thus, these events are collectively exhaustive.

Question 6

The set of all possible outcomes from a random experiment is called the sample:

Accepted Answer

The set of all possible outcomes from a random experiment is called the sample space. Population refers to a group of individuals or objects being studied, probability is a measure of the likelihood of an event occurring, and event is a subset of the sample space. Therefore, the best choice is B - space.

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is  ∩ 
?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is  ∩ B?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 9

The possible outcomes from a random experiment are called:

Accepted Answer

The answer of The possible outcomes from a random experiment...

Question 10

When events have no common basic outcomes,they are said to be:

Accepted Answer

Mutually exclusive events are those that cannot occur simultaneously, which means that they have no common basic outcomes. For example, rolling a 1 on a die and rolling a 6 on the same die are mutually exclusive events because they cannot occur at the same time. Therefore, option A is the best choice for this question.

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is the intersection of events A and B?

Accepted Answer

The intersection of events A and B includes outcomes that are both even and greater than seven, which are 8, 10, and 12.

Question 12

The expression of an individual's degree of belief about the chance that an event will occur is called ________ probability.

Accepted Answer

Subjective probability is based on an individual's personal belief, experience, and judgment about the likelihood of an event occurring. It contrasts with objective or classical probability, which is based on mathematical calculations and assumes that all outcomes are equally likely, and relative frequency probability, which is based on observations of past occurrences of an event.

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is the complement of event A?

Accepted Answer

The complement of event A (observing an even number) includes all outcomes that are not even, which are the odd numbers. Thus, the correct answer is the set of odd numbers that can be observed when rolling a pair of dice: [3,5,7,9,11].

Question 14

Which of the following is not an example of a random experiment?

Accepted Answer

A random experiment is an experiment that has uncertain outcomes. Choices A, B, and D have uncertain outcomes and are examples of random experiments. However, a survey to rate service quality does not have uncertain outcomes as it is dependent on the respondent's opinion, therefore, it is not an example of a random experiment.

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is  ∪ 
?

Accepted Answer

Event A consists of the outcomes {2,4,6}. 
Event B consists of the outcomes {8,9,10,11,12}.
The union of A and B gives us all numbers that are either even or greater than seven, or both. This is equal to the set {2,4,6,8,9,10,11,12}, which is represented by Choice C.

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is the union of events A and B?

Accepted Answer

The union of events A and B includes all outcomes that are either even numbers (2, 4, 6, 8, 10, 12) or numbers greater than seven (8, 9, 10, 11, 12), without duplicates.

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is  ∪ B?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is A ∪  ?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is the complement of event B?

Accepted Answer

The complement of event B (observing a number greater than seven) includes all outcomes that are not greater than seven, which are [2,3,4,5,6,7].

Question 20

A subset of outcomes is defined as a(n):

Accepted Answer

A subset of outcomes that represents a specific occurrence or combination of events is called an event. A sample is a set of all possible outcomes, an outcome is a single result of an experiment, and a probability is a measure of the likelihood of an event occurring.

Quiz 3: Probability

Which of the following is an example of a random experiment?

________ probability is the number of events in the population that meet the condition divided by the total number in the population.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is A ∩ ?

The proportion of times that an event will occur,assuming that all outcomes in a sample space are equally likely to occur,is called:

If the union of several events covers the entire sample space,it is said these events are:

The set of all possible outcomes from a random experiment is called the sample:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∩ ?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∩ B?

The possible outcomes from a random experiment are called:

When events have no common basic outcomes,they are said to be:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the intersection of events A and B?

The expression of an individual's degree of belief about the chance that an event will occur is called ________ probability.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the complement of event A?

Which of the following is not an example of a random experiment?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∪ ?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the union of events A and B?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∪ B?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is A ∪ ?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is the complement of event B?

A subset of outcomes is defined as a(n) :