Statistics Overview and Random Variables Quiz
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Questions and Answers

What is a discrete random variable?

  • A function that can have an infinite number of outcomes
  • A function that has countable outcomes (correct)
  • A function whose value can be any real number
  • A function that only yields positive outcomes

    • Which of the following is a characteristic of a binomial distribution?

  • It involves continuous random variables
  • Each trial has only two possible results (correct)
  • The mean and variance are interchangeable
  • It has more than two possible outcomes

    • In a normal distribution, what does the standard deviation represent?

  • The average outcome of the data
  • How flat and wide the curve is (correct)
  • The total area under the curve
  • The highest point on the curve

    • What characterizes a continuous random variable?

    <p>The values are the result of measurement</p> Signup and view all the answers

    What is the purpose of the Emperical Rule/Three Sigma Rule in normal distribution?

    <p>To quickly estimate data spread within certain standard deviations</p> Signup and view all the answers

    Which distribution is associated with rare events or rare chances to happen?

    <p>Poisson Distribution</p> Signup and view all the answers

    What is the main characteristic of a discrete probability distribution?

    <p>Only countable outcomes listed in a table or graph</p> Signup and view all the answers

    Which distribution is associated with a process involving only two possible outcomes?

    <p>Binomial Distribution</p> Signup and view all the answers

    What property must the values of a random variable follow in a discrete random variable?

    <p>Values are restricted to between 0 and 1</p> Signup and view all the answers

    In a normal distribution, which measure indicates how spread out the data is?

    <p>Standard Deviation</p> Signup and view all the answers

    Which probability distribution is used for rare events or rare chances to happen?

    <p>Poisson Distribution</p> Signup and view all the answers

    What is the main characteristic that defines a continuous random variable?

    <p>Infinite possible values within a range</p> Signup and view all the answers

    Which of the following properties is true for a normal curve?

    <p>Mean and Standard Deviation determine its shape</p> Signup and view all the answers

    What does the Three Sigma Rule state in relation to normal distributions?

    <p>$68%$ of data falls within 1st standard deviation</p> Signup and view all the answers

    What does the Emperical Rule provide in a normal distribution?

    <p>% of data within 1st and 2nd standard deviations</p> Signup and view all the answers

    'What function determines each element's real number value in a random variable?' is mostly associated with which concept?

    <p>Discrete Random Variable</p> Signup and view all the answers

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