Q1. List the elements of each of the following sample spaces: a) The set of integers between 1 and 50 divisible by 8 (b) The set S = {x | x2 +4x-5-0). Q2. Four students are selected at random from a chemistry class and classified as male or female. (a) List the elements of the sample space S1, using the letter M for male and F for female. Use tree diagram (b) Define a second sample space S2 where the elements represent the number of females selected. Q3. An engineering firm is hired to determine if certain waterways in Virginia are safe for fishing. Samples are taken from three rivers. (a) List the elements of a sample space S, using the letters F for safe to fish and N for not safe to fish. Use tree diagram. (b) List the elements of S corresponding to event E that at least two of the rivers are safe for fishing. e) Define an event that has as its elements the points FFF, NFF FFN, NFN) Q4. If S = { 0, 1 ,2,3,4,5,6,7,8,9} and A = { 0,2,4,6,8), B = { 1,3,5,7,9), C = {2,3,4,5), and D = { 1,6,7), list the elements of the sets corresponding to the following events: (a) AUC; (b) AnB