SOLUTION: Of a group of children, 0.2 are boys and 0.8 are girls. Of the boys, 0.7 have brown eyes; of the girls, 0.4 have brown eyes. A child is selected at random from the group. (a) Find

Question 1192879: Of a group of children, 0.2 are boys and 0.8 are girls. Of the boys, 0.7 have brown eyes; of the girls, 0.4 have brown eyes. A child is selected at random from the group.
(a) Find the probability that the child is a girl.

(b) Find P(brown eyes | boy).

(c) Find the probability that the child is a boy with brown eyes.

(d) Find the probability that the child is a girl with brown eyes.

(e) Find the probability that the child has brown eyes.

(f) Find the probability that the child is a girl, given that the child has brown eyes. (Round your answer to three decimal places.)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Make a table, and use 100 children
====B====G===Total
Br--14------32---46
Bl---6------48---54
total-20----80---100
-
A. Girl with probability of 0.8
B. Given a boy (20) prob.brown eyes is 0.7
C.This is a unique cell (14) for 0.14
D. This is 0.32
E. This is 0.46
F. This is 32/46=0.696
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