\(20 \%\) of people in the large town of Carnley support the Residents' Party. 12 people from Carnley are selected at random. Out of these 12 people, the number who support the Residents' Party is denoted by \(U\).
Find
(a) \(\mathrm { P } ( U \leqslant 5 )\),
(b) \(\quad \mathrm { P } ( U \geqslant 3 )\).
\(30 \%\) of people in Carnley support the Commerce Party. 15 people from Carnley are selected at random. Out of these 15 people, the number who support the Commerce Party is denoted by \(V\).
Find \(\mathrm { P } ( V = 4 )\).