according to a survey, it is estimated that 79% of a residents in a slump area would be infected by Dengue. a random sample of three (3) residents is selected from this area. let X denotes the number of infected residents in this sample.

a) draw a tree diagram and list all possible outcomes in the sample space.

b) construct a probability distribution for X

c) find the probability that less than two(2) residents will be affected by dengue

d) what is the probability that at least two (2) of them is affected by dengue ?