SOLUTION: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score above which separates

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Question 1058276: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score above which separates the lower 60% from the top 40%. Please show work
Answer by solve_for_x(190) About Me  (Show Source):
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The z-value that separates the lower 60% from the upper 40% is z = 0.2533.

You can obtain that value from a table of the normal distribution, or by entering "=NORMSINV(0.6)" into a cell in Excel.

The corresponding credit score is:

µ + zσ = 200 + (0.2533)(50) = 212.665