Historical data from the ANZ Banking Group Limited (ANZ) suggested that 10% of all customers applying for a home loan are rejected. Suppose that 50 new home loan applications are randomly selected. a. What is the expected value and the standard deviation of the number of home loans that will be rejected? (4 marks) b. What is the probability that at least 40 home loan applications will be accepted? (3 marks) C. What is the probability that more than 8 home loan applications will be rejected? (3 marks) Note: You are required to submit your workings and calculations to the space below for this