A random variable \(X\) has the distribution \(\operatorname { Po } ( 42 )\).
(a) Use an appropriate approximating distribution to find \(\mathrm { P } ( X \geqslant 40 )\).
(b) Justify your use of the approximating distribution.
A random variable \(Y\) has the distribution \(\mathrm { B } ( 60,0.02 )\).
(a) Use an appropriate approximating distribution to find \(\mathrm { P } ( Y > 2 )\).
(b) Justify your use of the approximating distribution.