HWI-3. Sampling Given a set of data consisting of a small number of almost equal sized groups, find at least one representative point for each of the groups. Assume that the objects in each group are highly similar to each other, but not very similar to objects in different groups. (a) Assume we have 10 independent groups, provide a formula to estimate the probability that there is at least one object from each of 10 groups. (b) Plot the probability under different sample sizes