Answer
$a-\\
F(\left \{ 1,3,4 \right \})=1 \\
as\,domain\,contain\,odd\,number\,of\,elements\\
b-\\
F(\varnothing )=0 \\
as\,empty\,set\,contain\,0\,elements\,(0\,is\,even\,number)\\
c-\\
F(\left \{ 2,3 \right \})=0 \\
as\,domain\,contain\,even\,number\,of\,elements\\
d-\\
F(\left \{ 2,3,4,5 \right \})=0 \\
as\,domain\,contain\,even\,number\,of\,elements\\
$
Work Step by Step
$a-\\
F(\left \{ 1,3,4 \right \})=1 \\
as\,domain\,contain\,odd\,number\,of\,elements\\
b-\\
F(\varnothing )=0 \\
as\,empty\,set\,contain\,0\,elements\,(0\,is\,even\,number)\\
c-\\
F(\left \{ 2,3 \right \})=0 \\
as\,domain\,contain\,even\,number\,of\,elements\\
d-\\
F(\left \{ 2,3,4,5 \right \})=0 \\
as\,domain\,contain\,even\,number\,of\,elements\\
$
