6. The following Table 2 shows a random sample of 100 hikers and their preferred areas of hiking: Table 2 Gender Coastline Near lake and Streams On Mountain Peaks Total Female 18 16 a 45 Male Total b d C 14 55 41 e f (3 Marks) a) What is the value for a, b, c, d, e and f? b) What is the probability of selecting a male hiker or a hiker that preferred on mountain peaks? (2 Marks) c) What is the probability of selecting a female hiker and a hiker that preferred the coastline? (2 Marks) d) Construct a Decision Tree with marginal and joint probabilities to represent the contingency table above. (3 Marks)