The table below shows the age groups and gender of the 31 middle -level managers at a large firm. Age (years) Male Female Total 20 < 30 3 3 6 30 < 40 5 4 9 40 < 50 8 3 11 50 < 60 3 2 5 Total 19 12 31 The directors of the firm have resolved to promote 3 of the middle-level managers to senior management positions during the current financial year. On the basis of the information provided below, answer question 13 - 15: The monthly expenditure on logistics by a major retailer is normally distributed with a mean of R250 000 and a standard deviation of R70 000.

Question 11 (4 Marks) What is the probability that the three middle-level managers who are eventually promoted to the firm's senior management team include two males and one female? a) 0.2156 b) 0.1522 c) 0.4565 d) 0.0489

Question 12 (4 Marks) What is the probability that all the three middle-level managers who are eventually promoted to the firm's senior management team would be below 40 years of age? a) 0.1012 b) 0.1246 c) 0.1335 d) 0.4005