Suppose you a play a game with a biased coin where the probability of heads is 0.6. You play each game by tossing the coin once. If you toss a head, you pay 10 dollars. If you toss a tail, you get 2...

Suppose you a play a game with a biased coin where the probability of heads is 0.6. You play each game by tossing the coin once. If you toss a head, you pay 10 dollars. If you toss a tail, you get 2 dollars. Let X = amount of money that you win.


Complete the following probability distribution of X:

How much would you expect to win? Should you play the game?