Problem 1 (20 points) Consider the following dataset (sorted in non-decreasing order): <12, 28, 31, 34, 34, 48, 59, 60, 63, 65, 70, 105, 134, 141, 151> (1) Perform the equal width binning on the above data with 3 bins using the method we discussed in the class. For each bin, show the bin interval, data values in the bin, and smoothed values using bin means, bin medians, and bin boundaries. (2) Repeat the same with equal depth binning with 3 bins. (3) If you transform the dataset into the interval of [1, 100] using Min-max normalization, what is the new value of 70