Find the generating functions, both ordinary h(z) and moment g(t), for the following discrete probability distributions. The distribution describing a fair coin:
a) h(z) = 1/2(1+z), g(t) = 1/2(1+eᵗ)
b) h(z) = 1/2(1-z), g(t) = 1/2(1-eᵗ)
c) h(z) = 1/2(1+z), g(t) = 1/2(1-eᵗ)
d) h(z) = 1/2(1-z), g(t) = 1/2(1+eᵗ)