Python Problem

Background. In this assignment you'll develop a program to inspect data sets to determine the pos- sibility that they've been forged. A program such as the one you'll write can actually be used in the field of investigation known as financial forensics or forensic accounting Suppose you have a set of numerical data that represents several orders of magnitude of numbers: the diameters of spheres in the universe, the populations of every town and city in the world, the number of hairs on every human head in Pullman, the heights of all human beings in the world in centimeters, the voting counts for every county in the United States-you name it. Now let's assume you have A datapoints in your set, each associated with a number. Let's further assume that the leading digit of this number can be 1, 2, and so on, up to 9, but not zero, and that the number can't be negative You're asked "How many times is the leading digit in your set 1? 2? 3? 9?" You might say something like, "I have no idea" or I'll have to write a Python program to figure it out." However, the person doesn't want you to look at the data. She just wants to know the approximate number of times a particular number is the leading digit. You think about this for a minute and decide that a reasonable guess would be N/9 because all nine digits probably occur as the leading digit the same number of times. Good thinking! You now feel quite pleased with yourself, right'? In fact, if you had checked your data set and found that each of the nine digits occurred N/9 times (i.e., with uniform probability), then it's very likely that your data set is either fake or has been fiddled with! The correct answer is that the probability P that a leading digit is n, where 1Kn