Assume that the probability that the item IS NOT in the array is 14. When the item is in the array, the probability that the item is found in index n is 13 and the probability that the item is found in index (n−1) is also 13. The probabilities of matching any of the remaining items are all equal. Assuming that comparison of an array item where the search key is the basic operation, what is the average case complexity function for sequential search of matching 1st through (n-2) items? Select one:
a. A(n)=3n2

b. A(n)=35n−1340

c. A(n)=7n−38
d. A(n)=14(n−2)​

Develop the program incrementally: a) start by reading and displaying each line of the input file to make sure you are reading the data set correctly. b) use the split string method to extract information from each line into a list. print the list to prove that this step is working correctly. d) convert the exam scores to type int and calculate the student’s average. display those items to prove this step is working correctly. e) create a tuple containing the six items for each student (name, exam scores, exam mean). display the tuples to prove this step is working correctly. (optionally, you may want to have the exam scores in a list so your tuple is (name, scores_list, f) append each tuple to a list. display the list to prove this step is working correctly. g) use the sort list method to re-order the tuples in the list. display the list to prove this step is working correctly. h) use a for statement to display the contents of the list as a table (with appropriate formatting). i) use a for statement to calculate the average of all scores on exam #1, then display the results. note that you could have calculated this average within the first loop, but we are explicitly requiring you to do this calculation by looping though your list of tuples. j) add the logic to calculate the average of all scores on exam #2, then display the results.