Question4 A mcmber of the Gender in Busincss Rescarch Team\" is intcrested in un

Question

Question4 A mcmber of the Gender in Busincss Rescarch Team" is intcrested in understanding the participation of women in agri-food small business in selected developing countries. Of the 50,000 small businesses surveyed, about 72% said they employed women in some capacity. Of the businesses that employed women, l 5% employed no female supervisors, 500 cmployed only one female supcrvisor, and the remainder employed more than one female supcrvisor. (Hint: Draw probability tree or contingency table before answering the questions below.) a) How many of the business surveyed employed no women? b) What proportion of business surveyed employed cxactly one female supervisor? c What proportion of businesses surveyed employed no female supcrvisor? d) Given that a firm employed women, what is the probability that it employed at least one female supervisor?

Explanation / Answer

A) Number of business surveyed employed no women = 50000 * (1 - 0.72) = 14000

B) Proportion of business survey employed exactly one female supervisor = 0.72 * 0.5 = 0.36

C) Proportion of business survey employed no female supervisor = 0.72 * 0.15 = 0.108

D) P(at least one female supervisor | firm employed women) = 1 -  P(no female supervisor | firm employed women) = 1 - 0.15 = 0.85

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