Consider a game in which you toss a coin 4 times. You have to pay $5 to play the game. You win $50 if you toss four heads, $30 if you toss three heads, and nothing otherwise. (a) On average, what is...

Consider a game in which you toss a coin 4 times. You have to pay $5 to play the game. You win $50 if you toss four heads, $30 if you toss three heads, and nothing otherwise.

(a) On average, what is your profit (wins minus losses) from playing this game?

(b) What is the standard deviation of the profit?