A manufacturer fills jars with coffee. The weight of coffee, \(W\) grams, in a jar can be modelled by a normal distribution with mean 232 grams and standard deviation 5 grams.
Find \(\mathrm { P } ( W < 224 )\).
Find the value of \(w\) such that \(\mathrm { P } ( 232 < W < w ) = 0.20\)
Two jars of coffee are selected at random.
Find the probability that only one of the jars contains between 232 grams and \(w\) grams of coffee.