Podcast
Questions and Answers
What is the probability of getting a total score of 6 when rolling two fair dice?
What is the probability of getting a total score of 6 when rolling two fair dice?
- 1/6 (correct)
- 1/8
- 1/12
- 1/9
According to the probability axioms, what is the smallest allowable probability for any event?
According to the probability axioms, what is the smallest allowable probability for any event?
- 1/3
- 0 (correct)
- 1
- 1/2
In the context of random variables, what is a random variable defined as?
In the context of random variables, what is a random variable defined as?
- A function from the real numbers to the sample space
- A map from the real numbers to the outcome space
- A function from the outcome space to the real numbers (correct)
- A map from the sample space to complex numbers
If you throw three fair coins, how many different outcomes are possible?
If you throw three fair coins, how many different outcomes are possible?
What does a discrete random variable map to?
What does a discrete random variable map to?
If events are mutually exclusive, what is the relationship between their probabilities?
If events are mutually exclusive, what is the relationship between their probabilities?
What term is used to describe the probability perspective that is based on an individual's measure of belief that an event will occur?
What term is used to describe the probability perspective that is based on an individual's measure of belief that an event will occur?
In probability, what does the term 'a priori' refer to?
In probability, what does the term 'a priori' refer to?
Which term do people commonly use to describe probability, alongside chance and odds?
Which term do people commonly use to describe probability, alongside chance and odds?
What does the set Σ represent in a probability space (𝛺,𝜮,𝑃)?
What does the set Σ represent in a probability space (𝛺,𝜮,𝑃)?
In a probability space, what does the sample space 𝛺 represent?
In a probability space, what does the sample space 𝛺 represent?
Which perspective of probability involves generalizing from specific instances to more general conclusions?
Which perspective of probability involves generalizing from specific instances to more general conclusions?
What term is used to describe the set of all possible outcomes of a random experiment?
What term is used to describe the set of all possible outcomes of a random experiment?
If a random variable only takes values in integers or a countable set of real numbers, it is classified as what type of random variable?
If a random variable only takes values in integers or a countable set of real numbers, it is classified as what type of random variable?
Which of the following is a correct notation to represent an event where a random variable X is greater than a fixed real number x1?
Which of the following is a correct notation to represent an event where a random variable X is greater than a fixed real number x1?
What does P(X < x1) represent in the context of random variables?
What does P(X < x1) represent in the context of random variables?
Which term is used to describe an event where a random variable X takes a specific fixed real number value x1?
Which term is used to describe an event where a random variable X takes a specific fixed real number value x1?