Probability and Statistics Homework Quiz
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Questions and Answers

For the given joint mass function, what are the marginal mass functions for X and Y?

  • $P(X=1) = 0.25, P(X=-1) = 0.50$ and $P(Y=1) = 0.25$
  • $P(X=1) = 0.25, P(X=0) = 0.50$ and $P(Y=1) = 0.25$
  • $P(X=1) = 0.25, P(X=0) = 0.50$ and $P(Y=0) = 0.25$ (correct)
  • $P(X=1) = 0.25, P(X=-1) = 0.50$ and $P(Y=0) = 0.75$

    • What is the value of $c$ such that $f_{X,Y}(x,y) = \frac{x+y}{c}$ is a true joint mass function?

  • $c=18$ (correct)
  • $c=9$
  • $c=12$
  • $c=6$

    • What is $P(Y \<= 2 | X=3)$ for the given joint mass function?

  • 0.8
  • 0.9
  • 0.7 (correct)
  • 0.6

    • Are X and Y independent for the given joint mass function?

    <p>No, X and Y are not independent</p> Signup and view all the answers

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