2.74 University Professors Consider a population consisting of the number of professors per university at small universities. Suppose that the number of professors per university has an average = 175 and a standard deviation or = 15.

a. Use Tchebysheff's Theorem to make a statement about the percentage of universities that have between 145 and 205 professors.

b. Assume that the population is normally distributed. What fraction of universities have more than 190 professors?