First, you start off with your given #4.4 g# of #CO_2#. You convert it into moles using the Periodic Table. This may vary according to the atomic mass numbers on your Periodic Table.
On my version of the Periodic Table, 1 mol of Carbon has a mass of #12.0111 g# and 1 mol of Oxygen has a mass of 15.9994 grams.
So 1 mol of #CO_2# is #12.0111 * (15.9994 * 2) = 44.0099 g#.
#4.4 /44.0099# gives you #0.10 mol# (2 significant figures).
1 mol of any gas will be equal to 22.4 L at STP. So #0.10# #mol# #CO_2# #*# #22.4 L = 2.2 L# of #CO_2# at STP. (2 significant figures)