1 a. What is the largest number of key comparisons made by binary search in searching for a key in the following array?

3

14

27

31

39

42

55

70

74

81

85

93

98

b. List all the keys of this array that will require the largest number of key comparisons when searched for by the binary search?

c Find the average number of key comparisons made by binary search in a successful search in this array.

(Assume that each key is searched for with the same probability.)

d. Find the average number of key comparisons made by binary search in an unsuccessful search in this array.

(Assume that searches for keys in each of the 14 intervals formed by the array's element are equally likely )