1.1. The random variable $S\textasciitilde{}Po(75)$.

Write down the normal distribution which can be used to approximate $S$.

1.2. Using the normal approximation, find:

(i) $P(60\leqS<80)$

(ii) $P(S\leq85)$

1.3. Using the normal approximation, find the largest integer value of $s$ such that $P(S\leqs)<0.1$