Statistics and Probability Basics
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Questions and Answers

What does the term 'sample space' refer to in probability?

  • The likelihood of an event occurring
  • The average of a set of values
  • The range of values in a dataset
  • The set of all possible outcomes of an experiment (correct)

    • How can a discrete random variable be distinguished from a continuous random variable?

  • Discrete variables are measured on a continuous scale, while continuous variables are measured on a discrete scale.
  • Discrete variables are always quantitative, while continuous variables can be either quantitative or qualitative.
  • Discrete variables have finite possible values, while continuous variables have an infinite range. (correct)
  • Discrete variables have a continuous probability distribution, while continuous variables have a discrete distribution.

    • What is the main purpose of the probability mass function (PMF) for a discrete random variable?

  • Describing the shape of the distribution
  • Estimating population parameters
  • Assigning probabilities to specific values (correct)
  • Identifying outliers

    • Which part of a normal curve is extended indefinitely both directions along the horizontal axis, approaching but never touching it?

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

    Where can we find the area of a specific region under the curve of a normal distribution?

    <p>Table of Areas under Normal Curve</p> Signup and view all the answers

    What is the shape of a Normal Probability Distribution?

    <p>Bell Curve</p> Signup and view all the answers

    What is the primary purpose of statistics in mathematics?

    <p>To analyze and interpret data</p> Signup and view all the answers

    How is probability different from statistics?

    <p>Probability is about predicting, while statistics is about collecting and understanding data.</p> Signup and view all the answers

    What does it mean when the probability of an event is 0?

    <p>The event is impossible</p> Signup and view all the answers

    Which level of measurement is characterized by categories with no inherent order or ranking?

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

    What is the range of values for probability?

    <p>0 to 1</p> Signup and view all the answers

    What does it mean if the probability of an event is 1?

    <p>The event is certain to happen</p> Signup and view all the answers

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