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In: Statistics and Probability

A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records...

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)?

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Expert Solution

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.

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.

orchestra answered 1 year ago
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