2 The discrete random variable \(Y\) is uniformly distributed over the values \(\{ 12,13 , \ldots , 20 \}\).
- Write down \(\mathrm { P } ( Y < 15 )\).
- Two independent observations of \(Y\) are taken. Find the probability that one of these values is less than 15 and the other is greater than 15 .
- Find \(\mathrm { P } ( Y > \mathrm { E } ( Y ) )\).