Discrete Random Variables and Events Quiz

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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?

1/3

0 (correct)

1

1/2

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?

16 Signup and view all the answers

What does a discrete random variable map to?

Integers only Signup and view all the answers

If events are mutually exclusive, what is the relationship between their probabilities?

They sum up Signup and view all the answers

What term is used to describe the probability perspective that is based on an individual's measure of belief that an event will occur?

Subjective Signup and view all the answers

In probability, what does the term 'a priori' refer to?

Finding probabilities from 'first principles' Signup and view all the answers

Which term do people commonly use to describe probability, alongside chance and odds?

Percentage Signup and view all the answers

What does the set Σ represent in a probability space (𝛺,𝜮,𝑃)?

A collection of events, each subset being called an event Signup and view all the answers

In a probability space, what does the sample space 𝛺 represent?

The possible outcomes Signup and view all the answers

Which perspective of probability involves generalizing from specific instances to more general conclusions?

Logical Signup and view all the answers

What term is used to describe the set of all possible outcomes of a random experiment?

Sample space Signup and view all the answers

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?

Discrete random variable Signup and view all the answers

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?

(X > x1) Signup and view all the answers

What does P(X < x1) represent in the context of random variables?

Probability of X being less than x1 Signup and view all the answers

Which term is used to describe an event where a random variable X takes a specific fixed real number value x1?

(X = x1) Signup and view all the answers

Discrete Random Variables and Events Quiz

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