3. A certain characteristic is said to be related with the eye colour. A sample of 160 randomly selected individuals are obtained and the results are tabled below:
Has characteristic?
Yes
No
Eye colours
Brown
Blue
Others
20
35
15
35
25
30
Let R denotes the event that a selected individual has brown eye colour, L denotes the event that a selected individual has blue eye colour, and C denotes the event that a selected individual has the characteristic.
a) Are events R and C independent? Justify your answer.
b) How are the two events R and L related (independent, mutually exclusive or complementary)? Justify whether each of the relations applies.