Probability & Statistics · Hard problem

Test scores are normally distributed with mean $500$ and standard deviation $100$. Given that the proportion of scores below a $z$-score of $1.5$ is $0.9332$, and the proportion below a $z$-score of $-0.5$ is $0.3085$, find the percentage of scores between $450$ and $650$. Round to the nearest tenth of a percent.