Consider a population consisting of the number of teachers per college at small two-year colleges. Suppose that the number of teachers per college has a mean of 175 and a standard deviation of 15.
1. Use Tchebysheff's Theorem to make a statement about the percentage of colleges that have between 145 and 205 teachers.
2. Assume that the distribution is bell shaped. What fraction of the colleges have more that 190 teachers.