Question: Consider the sample space S = {iron, chromium, silver, gold, phosphorus, oxygen, carbon} and the events A = {iron, chromium, carbon}, B = {chromium, silver,


Consider the sample space S = {iron, chromium, silver, gold, phosphorus, oxygen, carbon} and the events A = {iron, chromium, carbon}, B = {chromium, silver, gold}, and C = {oxygen}. Complete parts (a) through (f) below. (a) List the elements of the set corresponding to the event A'. O A. A' = {iron, chromium, carbon} B. A' = {iron, silver, gold, phosphorus, oxygen} C. A' = {silver, gold, hydrogen} OD. A' = {silver, gold, phosphorus, oxygen} . ' = (b) List the elements of the set corresponding to the event AU C. O A. AU C = {iron, chromium, oxygen, carbon} B. AU C = {iron, chromium, silver, gold, carbon} OC. AU C = {chromium, silver, gold, oxygen} OD. AU C = {iron, chromium, silver, gold, phosphorus, oxygen, carbon} O E. AUC=0 (c) List the elements of the set corresponding to the event (A n B') UC'. O A. (A n B') U C' = {iron, chromium, silver, gold, phosphorus, carbon} B. (An B') U C' = {iron, chromium, phosphorus, carbon} OC. (A n B') U C' = {iron, carbon} OD. (A n B') U C' = {iron, chromium, silver, gold, phosphorus, oxygen, carbon} O E. (A n B') U C' = (d) List the elements of the set corresponding to the event B'n c'. (d) List the elements of the set corresponding to the event B'n C'. O A. B'n C' = {iron, chromium, silver, gold, phosphorus, oxygen, carbon} O B. B'n C' = {iron, phosphorus, oxygen, carbon} OC. B'n C' = {iron, chromium, silver, gold, phosphorus, carbon} OD. B' n C = {iron, phosphorus, carbon} O E. B'n C' = 0 (e) List the elements of the set corresponding to the event AnBnc. O A. AnBn C = {chromium, oxygen} B. AnBn C = {oxygen} OC. AnBn C = {iron, chromium, silver, gold, oxygen, carbon} D. AnBn C = {iron} = { O E. AnBn C = 0 (f) List the elements of the set corresponding to the event (A' U B') n (A' nC). O A. (A'U B') n (An C) = {phosphorus, oxygen} B. (A' U B') n (An C) = {iron, silver, gold, phosphorus, oxygen, carbon} OC. (A'U B') n (An C) = {oxygen} OD. (A' U B') n (An C) = {silver, gold, phosphorus, oxygen} O E. (A'U B') n(An C) = $
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