Suppose that 3% of the students at a particular college are known to carry HIV.
a. If a student has 6 sexual partners during the course of a year, what is the probability that at least one of them carries HIV?
b. If a student has 12 sexual partners during the course of a year, what is the probability that at least one of them carries HIV?
c. How many partners would a student need to have before the probability of an HIV encounter exceeded 50%?