SOLUTION: Show all work. During the last 52 weeks, a company has paid overtime wages for 18 weeks and hired temps for 9 weeks. During 5 of those weeks, the company paid overtime and hired

Algebra ->  Probability-and-statistics -> SOLUTION: Show all work. During the last 52 weeks, a company has paid overtime wages for 18 weeks and hired temps for 9 weeks. During 5 of those weeks, the company paid overtime and hired       Log On


   

Question 1141088: Show all work.
During the last 52 weeks, a company has paid overtime wages for 18 weeks and hired temps for 9 weeks. During 5 of those weeks, the company paid overtime and hired temporary help. If the manager examines the financial records for one week, what is the probability that the payroll for that week included overtime pay or temporary help?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
p(A or B) = p(A) + p(B) - p(A and B)

A equals number of weeks where overtime was paid.

B equals number of weeks where temporary help was hired.

formula becomes p(A or B) = 18/52 + 9/52 - 5/52.

solve for p(A or B) to get p(A or B) = 22/52.

another way to look at it is as follows:

take out the number of weeks where overtime and temporary help were involved from each of the categories.

you will get.

overtime weeks only equal 18 - 5 = 13
temporary help weeks only equal 9 - 5 = 4
overtime and temporary help weeks equal 5
total weeks = 52

probability of randomly selectng a week where either overtime was involved or temporary help was involved or both were involved would be:

(13 + 4 + 5) / 52 = 22/52.