For each problem: State whether it is a marginal, conditional or joint probability question . Translate the question using probability notation Answer using a fraction, decimal (to 4 decimals) and the percentage (to 1 decimal) Where do you tend to sit in class? Front Middle Back Total Female 37 91 22 150 Male 15 46 25 86 Total 52 137 47 236 a) If a professor randomly selects a student, what is the probability that the student sits in the front of the class? b) If a professor randomly selects a female student, what is the probability that she sits at the front of class? c) If a professor randomly selects a student who is sitting in the front of class, what is the probability the student is female? d) If a professor randomly selects a student, what is the probability that the student is a female who is sitting at the front of class