2. A fairground game involves trying to hit a moving target with a gunshot. A round consists of up to 3 shots. Ten points are scored if a player hits the target, but the round is over if the player misses. Linda has a constant probability of 0.6 of hitting the target and shots are independent of one another.

1. Find the probability that Linda scores 30 points in a round. The random variable \(X\) is the number of points Linda scores in a round.
2. Find the probability distribution of \(X\).
3. Find the mean and the standard deviation of \(X\). A game consists of 2 rounds.
4. Find the probability that Linda scores more points in round 2 than in round 1.