The goal of this question is to find an approximation of . You are required to write the code and submit for both methods described below. In what follows, Pa and Pi are integers. Method 1: The long way - using for or while loop. (a) Generate two random numbers x and y from the uniform distribution on the interval (1,1). (b) Check whether the point (x,y) is inside the unit circle, and update the number Pi of points that fell inside the unit circle accordingly. (c) Repeat this process Pa times. (d) The probability that the a point falls in the unit circle is PaPi. Using this information, derive an expression that approximates the value of . Explain your work clearly in a markdown cell. (e) Print the approximation of at the end of your code