A researcher conduct a study on the relation of the highest academic qualification with the household income classification (B40, M40, T20) of 300 households which were randomly selected.

	Diploma	Bachelor Degree	Master's Degree	Total
B40	25	20	10	55
M40	35	60	57	152
T20	15	35	43	93
Total	75	115	110	300

If one household is randomly selected, answer the following questions:

1. Draw a tree diagram to represent the table above.
2. What is the probability of selecting a household with the highest academic qualification is diploma AND a B40 income classification?
3. What is the probability of selecting a household with the highest academic qualification is bachelor degree OR a M40 income classification?
4. What is the probability of selecting a household with the highest academic qualification is master's degree AND a T20 income classification?
5. What is the probability of selecting a household with the highest academic qualification is diploma if we only select from a group of T20 income classification?
6. Can we conclude that the householdincome classificationis dependent with thehighest academic qualification? Justify your answer.