Consider the following game. Everybody has to press a button on a machine which results

in one of three possible outcomes:

The result 1 has probability p1 = 1/4.

The result 2 has probability p2 = 1/3.

The result 3 has probability p3 = 5/12.

Now everybody presses the button three times and adds up the results. This is the result

of the game.

1. Calculate the expected value for the game described above.

is 6.5 correct?

Thx a lot in advance......