Is there an association between marital status and having a college education? You will an- swer the following questions using the census sample data summarized in the table below. Education level Less than High School Diploma High School Diploma College education diploma or higher Total Single 17 68 27 112 Married 70 240 98 408 Marital Status Divorced 10 59 15 84 Widow/Widower 28 30 3 61 A Total 125 397 143 665 a) If a person is selected at random, what is the probability that the person is married? (2 marks) b) If a person is selected at random, what is the probability that the person has a college edu- cation or higher? (2 marks) c) If a person is selected at random, what is the probability that the person is married, and the person has a college education or higher? (2 marks) d) If a person is selected at random, what is the probability that the person is married, or the person has a college education or higher? (2 marks) e) Find the probability that a randomly selected person has a college education or higher given that the person is married. (2 marks) f) Using the information from the parts above, is the event "a person is married" independ- ent from the event that "a person has a college education or higher"? Show why. (4 marks)