(a) What is the probability that an employee earns a salary greater than $100,000? (b) The company provides free public transport to the employees that earn the lowest 10% of salaries. Less than what salary does a person have to earn to qualify for the free public transport? (c) A sample of 16 employees is now taken. What is the probability that the sample mean is greater than $40,000? Question 3 (4+ 2 = 6 marks) (a) In a sample of 100 items from a production line, 14 are defective. Use these sample data to construct a 99% confidence interval for the true proportion of all items that are defective