Hello I need help with this question please , thank you

Problem(13) (a) An unbalanced coin is tossed, and it is assumed that the Chance of getting a head, H, is g. (Thus the chance of getting a tail, T, is 53-) Consider a tandem experiment of throwing the coin 4 times. Let 3 denote the sample space. Describe the elements in S. (1)) Let X be the random variable that corresponds to the number of the heads coming up in the four times of toss. What are the values that the random variable X takes? (c) Find the probability that there is one tail and three heads, that is, P(X = 3). (d) Find the probability that at least one of them lands head, that is, P(X 2 I). (e) Suppose that for each toss that comes up heads we win $4, but for each toss that comes up tails we lose $3. Clearly, a quantity of interest in this situation is our total wining. Let Y denote this quantity. What are the values that the random variable Y takes? (f) (2 points) Compute the expectation of the random variable X, i.e., E(X) :27 (g) (3 points) Compute the expectation of the random variable Y, i.e., E(Y) =7