Peform this in Python. Utilize vectorized calculations and not use any form of loops.  Make a data frame consisting of 20 and 10 columns. Each column j should consist of 20 values from a normal distribution with mean (j-1) and standard deviation 0.5j. For example, the third column should be normal(mean=2, sd=1.5). Using this data frame, do each of the following (using code, of course): Find the mean and standard deviation for each column. Write code that counts the number of columns for which the sample mean and sample standard deviation are within 20% of the values used to generate the data. Write code that writes the columns from part b to a new data frame. For each value in the new data frame, subtract its column mean and divide by the column standard deviation.

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Use of XOR function

XOR function or exclusive OR function was introduced in Excel 2013. This function is available under excel logical functions. For the given statement, the XOR function will return true only when either of the statements is true. It returns false when both the statements are true or when both the statements are false.