Question: You are in charge of reviewing the IQs of military personnel stationed at Rota. You know that IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Base housing has 200 occupants and you have determined that results of their IQ testing mimic the population as a whole. At a briefing your colonel wants to know how many of these soldiers have an IQ of

a) At least 100

b) Between 85 and 115

c) Not more than 70

What answers do you provide the colonel?