Amber Distributors is a company that specialises in the distribution of office furniture. While the
organisation has established itself as a reliable player in the industry, management has raised
concerns regarding the composition of its workforce. Specifically, the company has a noticeable lack of
younger employees and a long-standing history of employing a predominantly male workforce. These
issues raise questions about diversity, inclusivity, and longterm sustainability of the business. To better
understand these concerns, the Human Resources (HR) department has provided employee
demographic data for analysis. According to the HR report, the average age of employees at Amber
Distributors is 34 years, with a standard deviation of 3 years. For the purpose of analysis, it is assumed
that employee ages follow a Normal Distribution. The Chief Executive Officer (CEO) has requested a
detailed analysis of this data to identify trends, assess workforce diversity, and guide future strategic
decisions.
40% of employees at the company are female. Consider a random sample of 5 employees.
What is the probability that exactly 3 of these employees is male?
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