(a(i))[1]
A random sample of 3600 data items is selected. Let $X$ be the number of these items that are entered incorrectly. State the distribution of $X$, including the values of any parameters.
(a(ii))[3]
State a suitable approximating distribution for $X$, including the values of any parameters. Give a justification for the approximation you choose.
(a(iii))[2]
Use your approximating distribution to determine $P(X > 2)$.
(b)[3]
Another large random sample of $n$ data items is selected. The chance that the sample contains no data items entered incorrectly is greater than $0.1$. Use an approximating distribution to determine the largest possible value of $n$.