please answer part c and d

1. Nuclear Medicine Radioactive decay is first order. That is, the rate of decay is proportional to the amount of material times a constant. (a) The half-life of 18F is 110 minutes. What is the rate constant of first-order decay? (b) Using this rate constant, calculate the number of Becquerels (decays/s) from a 1 femtomole dose of an 18F-containing tracer (Hint: if you want to brush up on first order kinetics, go back to Module 1). (c) A detector measuring emissions takes a reading over the course of 0.5 ms. Assuming all the decays turn into detectable gamma rays and a Poisson distribution, what is the probability that 30 scintillations will be detected? (d) What is the probability that the expected number of events (rounded to nearest integer) will be detected? (i.e. what is the probability that if you observed for 0.5 ms, you would get the number of scintillations predicted from part (b)?) 1. Nuclear Medicine Radioactive decay is first order. That is, the rate of decay is proportional to the amount of material times a constant. (a) The half-life of 18F is 110 minutes. What is the rate constant of first-order decay? (b) Using this rate constant, calculate the number of Becquerels (decays/s) from a 1 femtomole dose of an 18F-containing tracer (Hint: if you want to brush up on first order kinetics, go back to Module 1). (c) A detector measuring emissions takes a reading over the course of 0.5 ms. Assuming all the decays turn into detectable gamma rays and a Poisson distribution, what is the probability that 30 scintillations will be detected? (d) What is the probability that the expected number of events (rounded to nearest integer) will be detected? (i.e. what is the probability that if you observed for 0.5 ms, you would get the number of scintillations predicted from part (b)?)