could someone please check my answers and provide feedback/corrections?

Atoms consist of a nucleus made up of protons and neutrons. Orbiting outside the nucleus are a "cloud" of electrons, The number of protons determines the element. A carbon atom contains six protons and (normally) six neutrons; however, certain isotopes of carbon can exist. An isotope occurs when an atom has a different number of neutrons. Isotopes of carbon include: Carbon-12, Carbon-13, and Carbon-14. 6 protons + 6 neutrons electron proton neutron Carbon atom Figure I: Depiction of a carbon atom 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 0.000125 f(0) = 0.000121 0.000100 0.000075 0.000050 0.000025 0.000000 10.000 20,000 30,000 40.000 50.000 X Figure 2: Probability of decay. The plot here represents the length of time between C-14 decays: ^ ~ EXP (^). Use this plot to answer the questions that follow. 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. .1952 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 time interval associated with 50% probability of decay?) P(X