7. A packing plant fills bags with cement. The weight \(X \mathrm {~kg}\) of a bag of cement can be modelled by a normal distribution with mean 50 kg and standard deviation 2 kg .
- Find \(\mathrm { P } ( X > 53 )\).
- Find the weight that is exceeded by \(99 \%\) of the bags.
Three bags are selected at random.
- Find the probability that two weigh more than 53 kg and one weighs less than 53 kg .