Check My A company died the number of lost-time acodents occurmng at its Brownsv

Question

Check My A company died the number of lost-time acodents occurmng at its Brownsvile, Texas, plant. Historial record, show that 10% ofthe employees stered lostme acc dents last year. Management beleves tat a spedal safety program wil reduce such accoents te 3% during the arrent yeac In alition, estmates that 15% of ereeloyees who had lost-mme accidents last year will exper erce 1st-time acodent during the current year a. what percentage of the efployee wa expencelost-time accident in both years (to 1 deem ap b. What percentage of the employee will experience a losk-time accident over the toyear period (to 1 decima? Check My Work

Explanation / Answer

4.57

Solution:

a) Let L denote event that emplyees suffer lost-time accidents during the last year.
Let C denote event that employees suffer lost time acccidents during the current year. From the given information,
Pr(L) = 0.10, Pr(C) = 0.03 , Pr(C|L) = 0.15
compute the probability that the employees will experience lost-time accidents in both years.
Pr(LC) = Pr(C|L) * Pr(L)
= 0.15 * 0.10 = 0.015 or 1.5%

There is 1.5 percent of the employees will experience lost-time accidents in both the years.

b) Compute the probability that the employees will suffer at least one lost-time accident over the two - year period
Pr(L C) = Pr(L) +Pr(C) -Pr(L C)
= 0.10+0.03 - 0.015
= 0.115
There is 10.1% of the employees will suffer at least one-lost-time accidents over the two-year peiod

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