2. (a) If Z = aX + bY and r is the correlation coefficient between X and Y, show that of a*ož + b'ož + 2abroxoy. (b) Show that the correlation coefficient r between two random variables X and Y is given by 20x0y Where og, dy and oy-y are the standard deviations of X, Y and X - Y, respectively.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.