Question 2 (10 marks)

Gender equality in employment is one of the main concerns in every business. A group of researchers wants to conduct a research on this and reported the following observations based on 15,000 SMEs in Australia:

From the surveyed sample, 18% of businesses do not employ females at all. Out of the SMEs that employed females, 19.5% employed no female supervisors, 50% employed only 1 female supervisor and the rest employed more than one female supervisorsiors.

Assess the number of SMEs without female supervisors. (2.5 marks)

ANSWER i):

Calculate the probability if SMEs employed exactly one female supervisor? (2.5 marks)

ANSWER ii):

Calculate the probability if SMEs employed no female supervisors? (2.5 marks)

ANSWER iii):

Given the particular SME employed females, calculate the probability that it employed at least one female supervisor?