- A manufacturer produces large quantities of coloured mugs. It is known from previous records that \(6 \%\) of the production will be green.
A random sample of 10 mugs was taken from the production line.
- Define a suitable distribution to model the number of green mugs in this sample.
- Find the probability that there were exactly 3 green mugs in the sample.
A random sample of 125 mugs was taken.
- Find the probability that there were between 10 and 13 (inclusive) green mugs in this sample, using
- a Poisson approximation,
- a Normal approximation.