The random variable \(X\) has the distribution \(\mathrm { B } ( 30,0.6 )\). Find \(\mathrm { P } ( X \geqslant 16 )\).
The random variable \(Y\) has the distribution \(\mathrm { B } ( 4,0.7 )\).
(a) Find \(\mathrm { P } ( Y = 2 )\).
(b) Three values of \(Y\) are chosen at random. Find the probability that their total is 10 .