A coin is flipped and the result comes out as heads. Let the probability of heads be denoted as h. Note that the coin is also a biased coin. Let the probability that the third head occurs on the i'th coin flip P_I[i].

1) Determine the sample for the variable I which is a random variable.

2) Determine the probability mass function denoted as P_I[i].

3) Determine the value that is expected for the random variable I, E[I].

4) Determine the value that is expected for the square of the random variable I, E[I²].