Probability and Statistics Homework Quiz

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4 Questions

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

$P(X=1) = 0.25, P(X=0) = 0.50$ and $P(Y=0) = 0.25$

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

$c=18$

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

0.7

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

No, X and Y are not independent

Test your understanding of joint mass functions, marginal mass functions, and probability calculations with this Probability and Statistics Homework Quiz. Practice finding marginal mass functions, calculating means and variances, and solving conditional probability problems. Prepare for your upcoming assignment by mastering these fundamental concepts.

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