A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% 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 employees will experience lost-time accidents in both years?b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

a

b

Step-by-step explanation:

From the question we are told that

The probability that an employees suffered lost-time accidents last year is

The probability that an employees suffered lost-time accident during the current year is

The probability that an employee will suffer lost time during the current year given that the employee suffered lost time last year is

Generally the probability that an employee will experience lost time in both year is mathematically represented as

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Generally the percentage of employees that will experience lost time in both year is mathematically represented as

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Generally the probability that an employee will experience at least one lost time accident over the two-year period is mathematically represented as

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Generally the percentage of the employees who will suffer at least one lost-time accident over the two-year period is mathematically represented as

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