Suppose that you cluster this dataset using k-means clustering with = and observations and as the initial centroids. answer the following questions: a. (10 pts.) assuming that observation is assigned to cluster 1 and observation is assigned to cluster 2, indicate the cluster of each observation. b. (5 pts.) recompute the centroids using the observations in each cluster. what are the new centroids? c. (5 pts.) what is the sum of squared errors for these clusters (using the new centroids)? d. (5 pts.) do these clusters represent a stable solution? a solution is stable if the clusters do not change in the next iteration of the algorithm.