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( 3 pts ) Find the marginal distributions of each of the three random variables. ( b ) ( 6 pts ) Find the joint

(3 pts) Find the marginal distributions of each of the three random variables.
(b)(6 pts) Find the joint distributions of each of the three different pairs of the random variables.
(c)(3 pts) Using the distributions you found above, show whether each pair of random variables
is independent.
(d)(4 pts) Find the following conditional distributions: Pr(S|+ m), Pr(T|+ m), Pr(S, T|+ m).
(e)(2 pts) Explain whether we can conclude from the three conditional distributions that you
found above that S and T are conditionally independent given M. If we cannot conclude this,
what additional information do we need?

Step by Step Solution

1 Understanding Responsive Design Principles

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