6 A game consists of two rounds.
The first round of the game uses a random number generator to output the score \(X\), a real number between 0 and 10
6
- Find \(\mathrm { P } ( X > 4 )\)
6
- The second round of the game uses an unbiased dice, with faces numbered 1 to 6 , to give the score \(Y\)
The variables \(X\) and \(Y\) are independent.
6 - Find the mean total score of the game.
6
- (ii) Find the variance of the total score of the game.