The following table provides the frequencies of the number of alpha particles emitted by a certain radioactive system in 100 intervals of length 1/100 seconds. a. Find the probability of emission of 0 to 10 alpha particles using these data. b. Assuming a Poisson distribution and using the mean number of alpha particles per time interval of 1/100 seconds from the empirical data, compute the probabilities of observing 0 through 10 alpha particles in a given interval. Compare these to your answer to part (a). Does a Poisson distribution model this phenomenon satisfactorily?