A student is chosen at random. You want to know the probability that the student has an iPod. This could be hard to determine since there are over 40,000 students on the given campus. Fortunately, a current survey recorded that 47% of first-year students have iPods, and you know that 32% of the students are first-year students. The survey indicates that 56.2% of upperclass students (i.e., non first-years) have iPods.
a. What is the probability that the student you randomly select has an iPod?
b. Given that the selected student has an iPod, what is the probability that he/she is an upperclass student?
c. Given that the selected student does not have an iPod, what is the probability that he/she is an upperclass student?