Students' heights from Dorm A are normally distributed with amean of 69.4 inches and standard deviation of 1.8 inches. Studentsheights from Dorm B are normally distributed with a mean of 71.6inches and standard deviation of 1.7 inches. (You may considerthese all to be population data.) A student is selected from one ofthe two dorms, but you don't know which one. Atleast how tall would that student need to be to havea probability of less than 0.03 of being from Dorm A? Round youranswer to the second decimal place. If you cannot find the exacttable entry you are looking for, use the value closest to the oneyou need. If there's a tie, use the smaller of the two possibleentries.
please give step by step instructions on solution. The answer is72.78 but im not sure how to do it.