The city of Denton conducted a census to know how its residents evaluated its recently announced South Denton Revitalization Plan on a 100-point scale that ranged from 1 (extremely opposed) to 100 (extremely supportive). The results showed that their responses were normally distributed with the mean of 45 and the standard deviation of 10. For each of the following questions, draw a diagram of a distribution curve and show your calculations. Always round to the nearest fourth decimal place.
What is the raw score above which 63% of respondents’ scores fall?