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Carbon is an element common in living (organic) matter with C-12 and C-14 occurring in similar abundances. These isotopes combine with Oxygen to form Carbon Dioxide which plants use in photosynthesis. When these plants die, the C-12 and C-14 decay at different rates. (Radioactive decay occurs when an atom decays into a different element. Carbon-14 decays to Nitrogen-14.) Radiocarbon dating is a common technique used to find the age of dead organic matter by measuring the difference between C-12 and C-14 in a sample. This sample could be an ancient plant or animal. Use the C-14 curve below to answer the questions in the discussion section. Data The plot here represents the length of time between C-14 decays: 5 7:XP (A). Use this plot to answer the questions that follow. 0 090125 /(0) = 0.000121 0.090103 0 000075 0.000050 0.000325 0 090930 10.090 20.040 1. What is the probability of a C-14 atom taking less than 7.000 years to decay? P(X 7000 | X > 6500) Round your answer to four decimal places. 3. The half-life of a radioactive substance is the amount of time it takes for 50%% of a sample to decay. In this case, how long does it take for 50% of a C-14 atom to decay to N-14? (What is the tine interval associated with 509% probability of decay?) P(X