Your first big job after graduating from college involves investigating claims of workplace bullying. Staff workers in your department process an average of 75 cases per year, with a standard deviation of 11; the distribution of these cases is normal. What percentage of workers would you expect to process more than 86 cases per year?

Question

Mathematics

Uriel Daugherty

12 September, 18:22

Your first big job after graduating from college involves investigating claims of workplace bullying. Staff workers in your department process an average of 75 cases per year, with a standard deviation of 11; the distribution of these cases is normal. What percentage of workers would you expect to process more than 86 cases per year?

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Answers (1)

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Kira Macdonald · Answer 1

(86-75) = 11

now 11/75=0.147

hence 0.147 x 100 = 14.7%.

therefore the percentage of workers needed to produce 86 cases is 14.7%

Step-by-step explanation:

step 1: We subtract the averages.

step 2: we devide the result in step one by the old average.

step 3: we multiply the result in step 2 by 100%.