Discrete Random Variables and Events Quiz
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Questions and Answers

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?

    <p>16</p> Signup and view all the answers

    What does a discrete random variable map to?

    <p>Integers only</p> Signup and view all the answers

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

    <p>They sum up</p> 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?

    <p>Subjective</p> Signup and view all the answers

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

    <p>Finding probabilities from 'first principles'</p> Signup and view all the answers

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

    <p>Percentage</p> Signup and view all the answers

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

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

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

    <p>The possible outcomes</p> Signup and view all the answers

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

    <p>Logical</p> Signup and view all the answers

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

    <p>Sample space</p> 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?

    <p>Discrete random variable</p> 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?

    <p>(X &gt; x1)</p> Signup and view all the answers

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

    <p>Probability of X being less than x1</p> 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?

    <p>(X = x1)</p> Signup and view all the answers

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