Prior to a test, 1/3 of a class of students study, and do so for n hours, where 0 < n <= 4 The other 2/3 of the class do not study at all. Those who study have a probability of (n 1)/5 of passing the test, and those who do not study have a 20% chance of passing. If 3/5 of all students that passed the test actually studied, determine the length of their study time.Hint: Use Bayes' Theorem to solve.