Question

Here is a contingency table of the age data from the spring 2012 online Statistics class. (I’m using that class’s data rather than ours because it is a slightly larger data set.)

Data table	16-25 First age category (F)	26-35 Second age category (S)	36 -45 Third age category (T)	TOTAL
MAN (M)	4	2	2	8
WOMAN (W)	11	9	2	22
TOTAL	15	11	4	30

1. P(M|S)=Given the person is in the second age category find the probability it’s a man

Answer 1

P(S) = P (Person is in the second age category)

        =

P (M∩S) = P (Person is in the second age category and it is a man)

               =

P (M|S) = probability it’s a man given the person is in the second age category

              =

              =

              = 0.181818