Because an approximate probability isdesired, the Central Limit Theorem might be applicable. In order to use the Central Limit Theorem for aproportion, check the assumptions. The sample israndom, and it is reasonable to assume the population size is at least 10 times the samplesize, which would be at least If a simple random sample of 500 independent people take the barexam, how many of them would be expected topass, onaverage? Calculate n times p. Also calculate how many would be expected tofail, n times (1minusp). State whether these are both more than 10