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.

(a) 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.

(b) Find the probability distribution of X.

x = 0, 10 , 20 , 30

p(x) 0.4 0.24 0.144 0.216

(c) Find the mean and the standard deviation of X.

A game consists of 2 rounds.

(d) Find the probability that Linda scores more points in round 2 than in round 1.

I need help woth the last question, 'd', How do I start?