Construct a $5$x$5$ Box filter. Scale the filter so all the values sum up to $1.$ Write out the filter below where each row of the filter is on a different line.

Construct a $5$x$5$ Gaussian filter with a standard deviation $($sigma$)$ of $1\mathrm{.}5.$ Scale the filter so the values in the corners are $1\mathrm{.}0.$ Round all float values to have $2$ decimal places. Write out the filter below where each row of the filter is on a different line.

Construct a $5$x$5$ Gaussian filter with a standard deviation $($sigma$)$ of $1\mathrm{.}0.$ Scale the filter so the values in the corners are $1\mathrm{.}0.$ Round all float values to have $2$ decimal places. Write out the filter below where each row of the filter is on a different line.

Construct a $5$x$5$ Gaussian filter with a standard deviation $($sigma$)$ of $0\mathrm{.}5.$ Scale the filter so the values in the corners are $0\mathrm{.}5.$ Round all float values to have $2$ decimal places. Write out the filter below where each row of the filter is on a different line.