(a(i))[3]
The random variable $W$ follows the distribution $B(700, 0.005)$. Calculate $P(W \geq 4)$.
(a(ii))[3]
Two values of $W$ are selected at random. Find the probability that their sum is less than $3$.
(b)[4]
The random variable $X$ has distribution $\operatorname{Po}(200)$. Use a suitable approximating distribution to find $P(X > 205)$.