Question 3 a) List the sample space for presidential candidates running in the Iowa Democratic caucus from the table below. Democratic Presidential Candidate Region Clinton Sanders O'Malley Total Urban 356 353 5 714 Rural 472 470 4 946 Total 828 823 9 1660 STAT 3011, Fall 2021 b) The table above was based on an entrance poll of 1,660 democratic delegates to the Iowa caucus. Delegates were asked their presidential preference, gender, family income, political position, first time voting, etc. before entering the caucus venue. The table represents a cross classification of presidential candidate by region. Let event R represent a delegate who is from a rural region. Let B be the event that a delegate supports Bernie Sanders. c) Calculate P(R). d) What does the event R" mean in words? Calculate P(RC). e) Find the probability that a delegate was from a rural region and supported Bernie Sanders. f) Find the probability that a delegate was from a rural region, or supported Bernie Sanders or both. g) Calculate P(R U B). h) Are events R and B disjoint? Why or why not