Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a company that manufactures and sells ofce furniture. They obtain their parts (hinges, chair wheels, etc-) from three different suppliers, A, B and [3. Past experience has shown that mm of the parts are supplied by A, 50% are supplied by B and the rest are supplied by C- It is also known that 10% of the parts supplied by A are defect, 3% of the parts from B are defect and 6% of the parts from C are defect. QUESTION 1 [3-D MARKS] 1.1 A part is randomly selected during a quality assurance test and is found to be defective. Calculate the probability that it was supplied by supplier B. {6 Marks) 1.2 Workers at Lyman Limited arrive at work at an average rate of 8 workers per hour. Assuming the arrival times follow a Poisson distribution, calculate the probability that a manager will observe: a} exactly 6 workers arriving in a given hour. [4 Marks} b} at least 2 workers arriving in a 15-minute period- [3 Marks) 1.3 The monthly salaries of the employees at Lyman Limited follow a normal distribution with an average salary of R 14 000 and a standard deviation of R 500. a} What percentage of employees get paid between R 13 [100 and R 15 500? {5 Marks} b} If a female employee claims to be in the top 10% of highest paid employees at the company, what must be her minimum monthly salary? {7 Marks)