A West Coast university has found that about 90 of its accep

A West Coast university has found that about 90% of its accepted applicants for enrollment in the freshman class will actually enroll. In 2012, 1260 applicants were accepted to the university. Within what limits would you expect to find the size of the freshman class at this university in the fall of 2012?

lower limit   
upper limit

Solution

Normal Distribution
Mean ( np ) = 1134
Standard Deviation ( npq )= 1260*0.9*0.1 = 10.6489
Normal Distribution = Z= X- u / sd                   
The UCL and LCL are defined as the mean plus, or minus (respectively), 3 times the standard deviation
Three st. dev. = 3 * 10.64 = 31.92
UCL = 1114.2 + 31.92 = 1146.12
LCL = 1114.2 - 31.92 = 1082.28