1. A census taker records the annual income of each household they visit. Let E be the event "more than $50,000" and F be the event "less than $75,000." Describe the events E( F, E', and F'.
2. A campus survey is taken to correlate the number of years that students have been on campus with their political leanings. Students are classified as first-year, sophomore, junior, or senior and as conservative or liberal.
(a) Find the sample space corresponding to the poll.
(b) Determine the event E1 = "conservative."
(c) Determine the event E2 = "junior and liberal."
(d) Determine the event E3 = "neither first-year nor conservative."