SOLUTION: MY NOTES 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 gover

Algebra ->  Permutations -> SOLUTION: MY NOTES 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 gover      Log On


   



Question 1184776: MY NOTES
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.

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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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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            Your data is perfectly formatted in your post,  and it facilitates the solution significantly.



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

         P (female | Democrat) = 8%2F%2812%2B8%29 = 8%2F20 = 2%2F5 = 0.4.    ANSWER




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

         P (female | Republican) = 2%2F%282%2B28%29 = 2%2F30 = 1%2F15.      ANSWER.


Solved completely with full explanations.