Question: (a) Draw the best and the worst binary search trees of height of 3(not maximum) with 5 keys(1,2,3,4,5). (b) Assume that each key in the

(a) Draw the best and the worst binary search trees of height of 3(not maximum) with 5 keys(1,2,3,4,5).

(b) Assume that each key in the tree is searched with probability 1/5.

What is the expected number of comparisons for a successful search for the best search tree?

What is the expected number of comparisons for a successful search for the worst search tree?

(c) What is the expected number of comparisons for an unsuccessful search?

What is the expected number of comparisons for an unsuccessful search for the best search tree?

What is the expected number of comparisons for an unsuccessful search for the worst search tree?

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