(a(i))[1]
State the values that are possible for $X$.
(a(ii))[1]
You are told that $P(X = 1) = 3 \times P(X = 0)$. Determine $\lambda$.
(a(iii))[2]
Calculate $P(4 \le X \le 6)$.
(b)[5]
The random variable $Y$ follows the distribution $\text{Po}(\mu)$, with $\mu$ large. Using an appropriate approximating distribution, it is found that $P(Y < 46) = 0.0668$, correct to $4$ decimal places. Find $\mu$.