$2$ A company has $250$ workers. $46\%$ of the workers are doing data entry. Experts assessed that those doing

data entry are at risk of getting wrist pain and that none of the other workers is at risk of getting wrist pain.

An assessment tool was also used to predict who is at risk of getting wrist pain. The assessment tool

makes the correct prediction $70\%$ of the time. When considering workers whom experts assessed safe,

the tool wrongly predicts that $12\%$ of them are at risk of getting wrist pain.

a$.$ Prepare an appropriate table and then use that table to

b$.$ calculate Sensitivity, Specificity, Positive Predictive Value and Negative Predictive Value

c$.$ Is this a good tool? Why?