Quant analysis of CFAI scores

Total questions: 300 Total right: 223 Probability of getting question right: 74.33% Given a normal distribution, I should have standard deviation sqrt(npq) = sqrt(300*74.33%*25.67%) = 7.56% On a 240 question test: Expected questions right = 178.4 Standard deviation = 18.16 my chance of scoring greater than 168 questions: Z = (168-178.4)/(18.16) = -0.57 looking up z table and I should have about 71.57% chance of passing… anyway… just a break… back to work…