1. assume that the number of days it takes a homebuilder to complete a house is normally distributed with a mean time of 176.7 days and a standard deviation of 24.8 days: a) what is the probability that a randomly selected home will take between 188 and 225 days to complete? b) what is the probability that a randomly selected house will take between 156 and 180 days to complete? c) what is the probability that a randomly selected home will take less than 150 days to complete? d) 90% of all homes will be completed in less than how many days?