Answer as many as you can please!!

1. An experiment consists of tossing a coin three times and observing the sequence of heads and tails. (a) What is the sample space of this experiment? Let tossing a head be event H, tossing a tail be event T. What is the sample space of this experiment? A.{HHH, HHT, HTH, THH, HTT, TTH, THT, TTT} B.{HHH, THT, TTT} C.{HHH, TTT} D.{HHH, THT, TTT, HHT} 2.Suppose that we have two urns - call them urn I and urn II - each containing blue balls and greyballs. An experiment consists of selecting an urn and then selecting a ball from that urn and noting its color. (a) What is a suitable sample space for this experiment? Go pag What is a suitable sample space for this experiment? A.{(11,blue), (11,grey)} Save time fo B.{(1,blue), (1,grey), (Il,blue), (11,grey)} for every new C.{(1,blue), (1,grey)} selecting Pag D.{(1,blue), (11,grey)} 3. 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. Designate first-year students by "Fr," sophomore by "So," junior by "Jr," senior by "Sr," conservative by "Con" and liberal by "Lib." A. { (Fr, Lib), (So, Lib), (Jr, Lib), (Sr, Lib)} B.{(Fr, Con), (So, Con), (Jr, Con), (Sr, Con)} C.{(Fr, Lib), (Fr, Con), (So, Lib), (So, Con), (Jr, Lib), (Jr, Con), (Sr, Lib), (Sr, Con)} D.{(Fr, Lib), (Fr, Con), (So, Lib), (So, Con), (Jr, Lib), (Jr, Con)} 4. Let S=(2,3,4,5,6,7,8) be a sample space such that the following are true. Use the information to answer the questions. E=(4,5} F=(6,7} G=(3,5,8} Are E and F mutually exclusive? Yes, No, Cannot be determined 5. Let S={3,4,5,6) be a sample space such that the following are true. Use the information to answer the question. E={4} and F=(5,6} Are the events E U F and E' F' mutually exclusive? Yes, No, Cannot be determined 6. Suppose tha 7 coins are tossed and the number of heads observed. (a) Describe the sample space for this experiment. Choose the correct answer below. A. {0, 1,2,3,4,5,6,7} B. {0,1,2,3,4,5,6,7,8) + C.{ 1 , 2, 3, 4 , 5, 6 , 7 } D.{0,1,2,3,4,5,6} 8. An urn contains balls numbered 1 through 10. A ball is drawn and replaced, and a second ball is drawn. a) How many outcomes are in the sample space