$5.$ Consider, data involving the variable xij $,$ where i is the subscript denoting the row position

and j is the subscript denoting the column position: $($n: row; m columns$).(6$ points$)$

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X X xij $=($x$11+$x$12+...+...+$x$1$m$)+($x$21+$x$22+...+$x$2$m$)+($x$31+$x$32+...+$x$3$m$)+...+($xn$1+$xn$2+...+$xnm$)$

i$=1$ j$=1$

With the following values of xij :

Column $($j$)123111129$

Row$($i$)243513351636435142$

$54178$ Calculate the following:

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a$.$ P P xij i$=1$ j$=1$

b$.($x$52)2$

$4$

c$.$ Pxi$1$ i$=2$

$1$

d$.$ P x$2$j j$=1$

e$.($x$32)2+($x$23)2$ f$.($x$32+$ x$23)2$