First we need to determine the limiting reactant (LR) by calculating the number of moles of each reactant we have:
For the lead (II) nitrate: (0.900 n/1L)(0.100L) = 0.0900 moles
For the sodium iodide: (2.00 n/1L)(0.0800L) = 0.160 moles
The molar ratio of lead (II) nitrate to sodium iodide is 1:2, so we need two times the number of moles of NaI than Pb(NO3)2, and we do not have that ((0.160/0.0900) = 1.78. So, the NaI is the LR.
Finally, since the molar ratio of the NaI to the PbI2 is 2:1, we should get 1/2 the number of moles of NaI available, or 0.0800 moles of lead (II) iodide.