(a)[1]
State which distribution models $X$, and give the values of any parameters.
(b)[2]
State a suitable approximating distribution for $X$, and give the values of any parameters.
(c(i))[2]
Use this approximating distribution to determine $\mathrm{P}(X = 4)$.
(c(ii))[2]
Use this approximating distribution to determine $\mathrm{P}(2 \leq X \leq 4)$.
(d)[3]
Use a suitable approximating distribution to find the probability that, in a random sample of $700$ microchips, there is at least $1$ faulty one.