A company studied the number of lost-time accidents occurring at its Brownsville

Question

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 10% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 3% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

a. What percentage of the employee will experience a lost-time accident in both years (to 1 decimal)?

Answer= 1.5%

b. What percentage of the employee will experience a lost-time accident over the two-year period (to 1 decimal)?

Explanation / Answer

b) here % of employee who had  lost-time accident last year =10%

% of employee who had  lost-time accident current year =7%

% of employee who had  lost-time accident in both year =1.5%

therefore  percentage of the employee will experience at least a lost-time accident over the two-year period

=10+7-1.5=15.5%

( Note :percentage of the employee will experience exactly one should be 15.5-1.5 =14%; as it is not clear weather they want exactly one or at least once; please try 14% if 15.5% does not work and revert.)

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