Question: Use R-Programming to answer the following: Explain and discuss your methodology on how you found your information. Consider the built-in dataset USArrests, which contains statistics

Use R-Programming to answer the following: Explain and discuss your methodology on how you found your information.

Consider the built-in dataset USArrests, which contains statistics in arrests per 100,000 residents for assault, murder, and rape in each of the 50 US states in 1973.

(a) Use a gap statistic plot to determine the optimal number of clusters for k-means clustering.

(b) Include a visualization of the clusters formed via k-means clustering.

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