Question

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

  

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

  

Answer 1

Answer:

Given that:

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that  of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to  during the current year.

In addition, it estimates that  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

Let L denote event that employees suffer lost time accidents during the last year

Let C denote event that employees suffer lost time accidents during the current year

From the given information

Compute the probability that the employees will experience lost-time accidents in both years

There is 0.9 percent of the employees will experience lost-time accidents in both the years.

b)  What percentage of the employee will experience a lost-time accident over the two-year period

Compute the probability that the employees will suffer at least one lost-time accident over the two -year period

There is 10.1% of the employees will suffer at least one lost -time accident over the two-year period.