Question

1. The following contingency table of frequencies has been obtained for a set of data:

Age

                        A                     B                     C                     D                     E

Female (F)     12                    7                      10                    4                      27

Male (F')         8                      13                    30                    36                    3

            For a randomly selected observation from these data, determine the following:

1.          P(A and F)                             b)         P(C or F)
3.          P(A or C)                               d)         P(A or [B and F'])
5.          P( A or C or F)                      f)          P(A or B or F)
7.          P(A|F)                                     h)        P(F|C)

Answer 1

Probability = no of favourable outcomes/ no. of possible outcomes

	A	B	C	D	E	Total
female	12	7	10	4	27	60
male	8	13	30	36	3	90
Total	20	20	40	40	30	150

a)

b)

c)

d)

  

e)

f)

g)

h)

The ages A,B.C,D, E are mutually disjoint