In a machine 3 balls numbered as: 2,4,6 The machine randomly chooses two balls with replacement. We denote: X – returns minimum of the two numbers Y – returns the sum of the two numbers for (2,4), X returns 2, and Y returns 6 for (1,1), X return 1, and Y returns 2 For example: a. Draw the joint distribution function of X and Y. b. Are X and Y independent? Are X and Y uncorrelated? c. Compute the Correlation coefficient of X and Y.

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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.