Operations on Random Variables

The questions below are due on Sunday April 07, 2019; 11:00:00 PM.

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Here is a joint distribution from the notes:

Compute the following:

\Pr(S=\text{good}) =

\Pr(S=\text{bad}) =

\Pr(O=\text{smudged}~|~S=\text{bad}) =

\Pr(S=\text{good}~|~O=\text{smudged}) =