On the basis of the information provided below, answer questions 11 - 12:

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 questions 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

Question 13 (4 Marks) What percentage of the monthly expenditure on logistics by the retailer is expected to exceed R400 000?

a) 1.61%

b) 3.06%

c) 0.16%

d) 0.31%

Question 14 (4 Marks) What is the maximum monthly expenditure of the lowest 5 percent monthly expenditure on logistics by the retailer? .

a) R115 150

b) R134 850

c) R160 400

d) R180 000

Question 15 (4 Marks) What is the probability that during a particular month the firm would spend an amount between R90 000 and R360 000 on logistics?

a) 0.9654

b) 0.4418

c) 0.4890

d) 0.9308