# Susan Davidson currently runs a cell phone shop in North Carolina. Her firm currently has nine employees. While she’s spent time training her…

Probability of Sale

90%

18%

22%

10%

60%

60%

45%

15%

55%

From each cell phone sold, Susan’s company earns \$45 before paying her workers. Because she’s working with very thin margins, she needs to identify which sales strategies and which employees are a good match for her company and which employees she should consider letting go. Each employee works 8 hours per day 5 days a week and gets 2 weeks of vacation a year. Each employee earns a salary of \$40,050.

Given the variety of directions you could take this data, Susan has some specific goals she’d like you to help with.

if she is to let employees go she knows that it will be costly to search for a new employee capable of stepping into this role.   She also has reason to believe that among prospective employees, the average number of successful sales per day is normally distributed. The mean of this distribution is 3.5 with a standard deviation of 0.5 sales per day. How likely is she to be able to replace any employees losing her money? Should she try?