The monthly revenue for an Islamic insurance company has a mean of 29 million USD with a standard deviation of 5 million USD. Assume this distribution follows a normal distribution.

A.What is the monthly revenue range at 95 percent confidence interval? Show in graph.

B.What is the probability that next month revenue will be at least 23 million USD?

C.A proposal made by the HR department to cut the fixed salaries for all employees and offer them instead a bonus to be paid if the company revenue exceeds 40 million. The HR manager believes that the new salary scheme will not have an impact on the company performance at short run but it will eventually incentivize the employees to work harder after one year. Evaluate the manager proposal by discussing the impact of the proposal on the employees income on the short run. Will the new policy have an impact on total remuneration of the employees? Is it likely that the employees will get a bonus? Do you think this new salary scheme is fair for the employees?

D.Assume that the average salary for the new employees (fresh graduate) in the company is equal to USD 750, and a standard deviation () of USD 85. If we select a random sample of thirty-five (35) employees, then what is the probability that the average salary for this sample will be MYR 770 or more? Does your answer change if a sample of 8 employees is selected?