Question 1184776
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<pre>
Data on the governors of the fifty states are given in the table.

 	Democrats	Republicans	Independents
Male	   12	           28	             0
Female	    8	            2	             0


(a) Find the probability that a governor is female, given that the governor is a Democrat.


(b) Find the probability that a governor is female, given that the governor is a Republican.
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Your data is perfectly formatted in your post, &nbsp;and it facilitates the solution significantly.



<pre>

(a)  Look at the Table.  You see the Democrats are 12 males + 8 females. THEREFORE

         P (female | Democrat) = {{{8/(12+8)}}} = {{{8/20}}} = {{{2/5}}} = 0.4.    <U>ANSWER</U>




(b)  Look at the Table. You see that the Republicans are 28 males and 2 females.  THEREFORE,

         P (female | Republican) = {{{2/(2+28)}}} = {{{2/30}}} = {{{1/15}}}.      <U>ANSWER</U>.
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Solved completely with full explanations.