probability that at least one worker will be injured within 400 days Employees A
ID: 455524 • Letter: P
Question
probability that at least one worker will be injured within 400 days
Employees After Successful Product Launch:
The night before the new product introduction to the market Elaine was concerned about having enough workers available to be able to serve the expected surge in the number of customers wanting to try new muffin tops. Since the shop opening a couple of years ago, the employee tardiness was an issue, and there is 25% probability that certain employee will be late for Monday morning shift that consists of eight employees. In addition, due to new product baking process, Elaine was also concerned with the issue of employee job safety. Since the shop opening she ensured that safe working conditions were maintained. Thus, serious injuries during a typical work day were very rare, and probability of such injury was only 0.5%.
Explanation / Answer
Probablity of any one person getting injured on any particular day = 0.5%
Probablity of any one person NOT getting injured on any particular day = 1 - 0.5% = 0.995
The shop has 8 employees, So probability of all of the 8 employees NOT getting injured on any given day = 0.995^8 = 0.9607
Probability of all of the 8 employees NOT getting injured on all the 400 days = 0.9607^400 = 1.08*10^(-7)
Probability of atleast one person getting injured within the 400 days = 1 - 1.08*10^(-7) = 0.999999892 = 99.99999%
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