Marcella is standing for class representative. There is a probability of0.4 that she supports a proposed change to the school dress code. If she supports it, the probability that she will be elected as class representative is0.7. If she does not support it, the probability that she will be elected is0.4

Marcella is standing for class representative. There is a probability of 0.4 that she supports a proposed change to the school dress code. If she supports it, the probability that she will be elected as class representative is 0.7. If she does not support it, the probability that she will be elected is 0.4. The following tree diagram represents this information: Elected 0.7 Support 0.4 0.3 Not elected Elected 0.6 0.4 Not support 0.6 Not electedNOT CICCICU (a) Write down the probability that Marcella is not elected if she supports the new dress code. [1] (b) Find the probability that Marcella supports the new dress code and is elected. [2] (c) Given that Marcella is elected, calculate the probability that she supports the new dress code. [3] [Maximum mark: 6]