Question 1: (7 marks) A statistics professor does not require attendance as part of a student's overall grade, she has noticed that those who regularly attend class have a higher tendency to get a final grade of A. The professor calculates that there is a 75% chance that a student will attend class regularly. Moreover, given that a student attends class regularly, there is a 30% chance that the student receives an A grade; however, if a student does not attend class regularly, there is only a 10% chance of an A grade. Use this information to answer the following questions: a) What is the probability that a student will receive an A grade? b) A student has just received an A grade, what is the probability that the student attended class regularly? c) Are the two events independent? Explain? Question 2. (8 marks)