Question

The registration process at a large urban college involves two steps. Step 1 involves selecting classes (selection) and step two involves paying the bill (paying). Not everything is perfect, however, and errors can be made in the process. In the selection process, 0,1, or 2 errors can be made. Likewise, for the paying process, 0,1, or 2 errors can be made. Let X be the number of selection errors and let Y be the number of paying errors. Let Z = X+Y. Let W=X*Y. The following is the joint probability mass function for X and Y: Y 0 1 2 0 .132 .136 .152 X 1 .045 .101 .048 2 .223 .073 .090 k. Calculate the variance of X? l. Calculate the correlation coefficient between X and Y

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