The rules of a new board game say that a player must flip a coin and roll a die. A heads on the coin is worth one point and a tails on the coin is worth two points. The player also scores a number of points equal to the result of the die. The probability distribution table for the number of points scored follows:

X	2	3	4	5	6	7	8
Pr(X)	0.08	0.17	0.17	0.17	0.17	0.17	0.08

Find the mean value of the distribution