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 (B)</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 (B)</p> Signup and view all the answers

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

<p>Poisson Distribution (D)</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 (C)</p> Signup and view all the answers

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

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

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

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

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

<p>Poisson Distribution (D)</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 (B)</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 (B)</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 (D)</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 (B)</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 (A)</p> Signup and view all the answers

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