Introduction to Random Variables and Probability Distribution Functions Quiz

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Questions and Answers

What is a random variable?

  • A function from a sample space into the alphabet
  • A function from a sample space into the real numbers (correct)
  • A function from a sample space into the complex numbers
  • A function from a sample space into the integers

How are random variables denoted?

  • With lowercase letters
  • With subscripts
  • With uppercase letters (correct)
  • With Greek letters

What does the cumulative distribution function (CDF) of a random variable represent?

  • The probability of the random variable being in a specific range
  • The probability of the random variable being less than or equal to a certain value (correct)
  • The probability of the random variable being greater than a certain value
  • The probability of the random variable being exactly equal to a certain value

In the context of tossing three coins, what does F(x) represent for x = 1?

<p>$\frac{7}{8}$ (A)</p> Signup and view all the answers

What do realized values of random variables correspond to?

<p>Values denoted by lowercase letters (B)</p> Signup and view all the answers

How is the probability function defined for X = {x1 ,..., xn}?

<p>$P(X = xi)$ (C)</p> Signup and view all the answers

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