Question 1196675
overall, company A has 13 late regular deliveries and 15 late overnight deliveries for a total of 28.
divide that by 700 total deliveries = 28/700 = .04 = 4%.
overall, company B has 2 late regular deliveries and 28 late overnight deliveries for a total of 30.
divide that by 700 total deliveries = 30/700 = .0429 = 4.29%.
4% for company A and 4.29% for company B are your answers if you are just looking for overall later percent.
those figures would indicate that company A is more reliable overall.
the results are, however, skewed by the fact that you are not comparing similar numbers of deliveries for regular and for overnight.
if you compare percent late for regular and percent late for overnight separately, you will find that company A is more reliable in both categories.
for regular, company A late percent = 13/500 = 2.6% while company B late percent = 2/200 = 1% indicating company B is more reliable.
for overnight, company A late percent = 15/200 = 7.5% while company B late percent = 28/500 = 5.6% indicating company B is more reliable.
the solution you were asked to obtain, however, is:
Overall, Company A is late 4% of the time and Company B is late 4.29% of the time.