Difficult# Chebyshev's Rule: University Applicants

APSTAT-AGFGYK

State University applicants are required to take an admission test for entrance into the university. In a given year, $850$ applicants took the test. The test results gave a mean score of $68$ with a standard deviation of $4$ points. Suppose we do not know whether the scores are approximately normally distributed.

What can be said about the number of scores that are less than $60$?