(with respect to minimizing the objective functionas one of the solutions found using trials finger exercisedraw lines on figure to show the separations found by our two attempts to cluster the points do you agree that the solution found using trials is better than the one found using trialone of the key issues in using -means clustering is choosing consider the points in the plot on the rightwhich were generated using contrivedtest figure this function generates and clusters points from three overlapping gaussian distributions def contrivedtest (numtrialskverbose)random seed( xmean xsd ymean ysd samples gendistribution(xmean,xsdymeanysdn' 'plotsamples( samples' ^' samples gendistribution(xmean+ ,xsd,ymeanysdn' 'plotsamples( samples'ro' samples gendistribution(xmeanxsdymean+ ysdn' 'plotsamples( samples'gd'clusters trykmeans( samples samples samplesexampleknumtrialsverboseprint 'final resultfor in clustersprint '' figure generating points from three distributions the invocation contrivedtest ( falseprints final result cluster with centroid contains cluster with centroid contains