Please use python to solve this question, and follow the skeleton code template provided, do NOT use any extra python package.

11. The value of 7t can be estimated using a Monte-Carlo simulation, by throwing 'darts' at a 'dartboard'. Specifically, we throw darts in a square centered around the origin and measure their distance to the center. If the darts are thrown uniformly in the square from (-1,-1) to (1,1), this distance is less than 1 with a probability of /4 (a) You have been provided with Python code that can throw such uniform darts Adapt this code to throw 1000 darts and estimate 7t, by counting how many have a Euclidean distance of less than 1 to the origin (b) What is the 95% confidence interval for your estimate of ? (c) The code also contains a method to throw darts that are normally distributed (with a mean of 0 and a standard deviation of 0.6 in both dimensions). Throw 1000 normally distributed darts and compute 7t by counting how many have a Euclidean distance of less than 1 to the origin. Is this estimate of significantly different to the estimate made in part (a)? # # DO NO IMPORT AND USE ANY OTHER PACKAGES. ### Import the uniform and gauss (for normally distributed ### numbers) methods from the random pacakage from random import uniform, gauss ### Representation of a dart, with X and Y coordinates. class Dart: def init (self, x, y): self.x= x self.y -y def str (self): return " ((0:.3f).. ,(l: .3f>.. )".format (self.x, self.y) def repr (self): return self. str_() # # Euclidean distance of a given Dart object to the origin (0,0) def distanceToOrigin (dart): return (dart.x**2dart.y**2)0.5 ### Generate and throw a dart in a uniform square from (-1,-1) to (1,1) def throwUniformDart(): return Dart (uniform(-1,1), uniform(-1,1)) ### Generate and throw a dart normally distributed about the origin (std-0.6) def throwNormalDart (): sigma - 0.6 return Dart (gauss (mu, sigma) ,gauss (mu, sigma)) if namemain": ### Throw and print a 'uniform' dart dart-throwUniformDart() print("Uniform dart's coordinates: f0\.format (dart)) ### Compute and print the dart's distance to the origin distance-distanceToorigin(dart) print("Distance of dart to origin: t0)".format (distance))