question 9 of 10: you intend to screen out 80% of candidates based on their resumes. youll then narrow that…

question 9 of 10: you intend to screen out 80% of candidates based on their resumes. youll then narrow that pool by another 70% via phone interviews. this will leave you with 10 candidates for in - person interviews. for this plan to work, how many candidates do you need to start with?\na) 20\nb) 83\nc) 167

question 9 of 10: you intend to screen out 80% of candidates based on their resumes. youll then narrow that pool by another 70% via phone interviews. this will leave you with 10 candidates for in - person interviews. for this plan to work, how many candidates do you need to start with?\na) 20\nb) 83\nc) 167

Answer

Explanation:

Step1: Calculate the proportion after resume - screening

If you screen out 80% of candidates based on resumes, the proportion of remaining candidates is $1 - 0.8=0.2$.

Step2: Calculate the proportion after phone - interviews

After narrowing the remaining pool by 70% via phone - interviews, the proportion of candidates left for in - person interviews is $0.2\times(1 - 0.7)=0.2\times0.3 = 0.06$.

Step3: Find the initial number of candidates

Let the initial number of candidates be $x$. We know that $0.06x = 10$. Solving for $x$, we get $x=\frac{10}{0.06}=\frac{10}{\frac{6}{100}}=\frac{1000}{6}\approx167$.

Answer:

C. 167