a banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a std. deviation of 50. FInd the value of he 60th percentile, the score that separates the lower 60% from the top 40%

Go to a z table and look up .60 in the body of the table and find its corresponding z score.

Then, set it equal to the formula z=\frac{x-200}{50}, and solve for x.