.
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) =
=
=
= 0.4. ANSWER
(b) Look at the Table. You see that the Republicans are 28 males and 2 females. THEREFORE,
P (female | Republican) =
=
=
. ANSWER.
Solved completely with full explanations.