It is known that 40% of all students are enrolled in accounting and 50% of all students are enrolled in statistics. It is also known that 30% of all students are enrolled in both accounting and statistics. Find the following probabilities.
a) What is the probability that a randomly selected student is enrolled in accounting? ____________
b) What is the probability that a randomly selected student is enrolled in statistics? _____________
c) What is the probability that a randomly selected student is enrolled in both accounting and statistics? _____________
d) What is the probability that a randomly selected student is enrolled in either statistics or accounting (or both)? ____
e) A student is selected at random. It is determined that the student is enrolled in accounting. Given this information, what is the probability that this student is enrolled in statistics? _________