This question involves data from which nothing interesting can be learned about frequent itemsets, because there are no sets of items that are correlated. Suppose the items are numbered 1 to 10, and each basket is constructed by including item i with probability 1/i, each decision being made independently of all other decisions. That is, all the baskets contain item 1, half contain item 2, a third contain item 3, and so on. Assume the number of baskets is sufficiently large that the baskets collectively behave as one would expect statistically. Let the support threshold be 1% of the baskets. (a) Find the frequent itemsets. (b) Prove that in this data there are no interesting association rules, i.e., the interest of every association rule is 0.

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