how full solution plz low is a binary search tree that holds the 26 letters of the alphabet. For the purposes of the ordering property of the binary search tree, assume that A

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Below is a binary search tree that holds the 26 letters of the alphabet. For the purposes of the ordering property of the binary search tree, assume that A < B< . < Z.
In order to search for the value at the root of the tree, we would have to examine 1 node and in order to search for a value in a leaf on the lowest level, we would
examine 5 nodes.
On paper, fill out the values inside the nodes. Then, answer the following three questions.
Question 5
Define a vowel to be a letter from the set (A. E, I, O, U, Y) and a consonant to be a letter that is not a vowel. Assume we choose a consonant at random (every
consonant is equally likely to be selected) and search for it. How many nodes would be examined on average?
Question 6
Now, assume we search for a vowel with probably 0.3 and for a consonant otherwise (with probability 0.7). Vowels are equally likely to be selected (with respect to
each other) and so are consonants (again, with respect to each other). What is the average number of nodes that would be examined on a search?
Transcribed Image Text:Show full solution plz Below is a binary search tree that holds the 26 letters of the alphabet. For the purposes of the ordering property of the binary search tree, assume that A < B< . < Z. In order to search for the value at the root of the tree, we would have to examine 1 node and in order to search for a value in a leaf on the lowest level, we would examine 5 nodes. On paper, fill out the values inside the nodes. Then, answer the following three questions. Question 5 Define a vowel to be a letter from the set (A. E, I, O, U, Y) and a consonant to be a letter that is not a vowel. Assume we choose a consonant at random (every consonant is equally likely to be selected) and search for it. How many nodes would be examined on average? Question 6 Now, assume we search for a vowel with probably 0.3 and for a consonant otherwise (with probability 0.7). Vowels are equally likely to be selected (with respect to each other) and so are consonants (again, with respect to each other). What is the average number of nodes that would be examined on a search?
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