Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 72.5 and a standard deviation of 7.5.

(c) At what score was the rate of change of the probability density function for the scores a maximum?

(d) According to the Empirical Rule, approximately what percentage of scores were above 80?
%

(e) According to the Empirical Rule, the lowest 2.5% of the scores were below
.

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297