A survey of 1,000 people is conducted to study how support for a new government initiative differs between people from rural and urban backgrounds. The 1,000 people are made up of 500 people from urban areas and 500 people from rural areas. Each person is asked whether or not they support the government proposal. The results of the survey show that 248 are rural and support the proposal; 252 are rural and do not support the proposal; 164 are urban and support the proposal; and 336 are urban and do not support the proposal. a) A tree diagram describing this situation has been drawn up, and some probabilities have been lled in. Complete the tree diagram for this scenario by lling in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places. Does su port Rural 0.5 Doesn't support Does su port Urban 0.5 Doesn't support : Let the events A and B be: Event A: a random person from the survey is from a rural area Event B: a random person from the survey doesn't support the proposal b) Find the probability of A and B Give your answer as a decimal to 2 decimal places. P(A and B) = c) Find the probability of B given A. Give your answer as a decimal to 2 decimal places. P(BIA) =