Question 2 [25 marks] a} Kaka Construction Ltd is a successful company dealing with many major projects in Singapore. Recently. it has submitted its biddings for two major property development projects. Project Aworth about $4M million and Kaka believes it has 40% chance of securing the project. Project B worth $58!] million and there is 30% chance that the company can secure it. Both projects are independent of each other. 1v'lllhat is the probability that the company: i. will secure Project A or B but not both (4 marks} ii. will not secure Project A or will not secure F'roject B {4 marks} b} Do you agree that \"if two events are mutually exclusive then these two events will be independent"? Why? {4 marks} c} The weight ofa bag of rice is normally distributed with mean of 1kg and a standard deviation of Bg. If a bag of rice is randomly selected. what is the probability that its weight is i. more than 950g? {3 marks} ii. between 980g and 11g? {5 marks} iii. If 20 bags of rice are randomly selected. what is the probability that 15 bags have weight exceeding 950g? {5 marks}