I need help with the following question:

A coin is biased to show heads twice as often as it shows tails. You toss this coin 3 times and win 1 dollar each time it shows tails but lose 50 cents each time it shows heads.

a) What is the probability distribution of X: the amount of money you could win or lose in 3 tosses?

b) On average, how much money would you win or lose each time you toss this coin 3 times?

c) Express the maximum amount of money you could win in 3 tosses of this coin as a Z-score?

a) X{-1.50, 0, 1.50, 3.00}, p(X) {0.2963, 0.4444, 0.2222, 0.037}

b) mu = 0

c) Z=2.45