A Geiger counter counts the number of alpha particles expelled from radioactive material (these are expelled independently). Over a long period of time, we observe a mean of 6 alpha particles per minute being expelled. We want to find the probability that exactly & alpha particles are expelled in a particular one minute period. Which of the following distributions should you use for this problem? O binomial O geometric O Poisson O none of these Find the probability that exactly & alpha particles are expelled in a particular one minute period. Round your answer to four decimals. P(X = 8) = Justify your answer. Either type an explanation of your work or upload a file showing the work