Question: 1. Suppose five fair coins are flipped and consider the random variable H, defined as the number of heads revealed. Rewrite H as a sum of simpler random variables.
2. For the situation of rolling an eight-sided die, consider the random variables E = 1 when the result is even and E = 0 otherwise, and G = 1 if the result is greater than or equal to 5 and G = 0 if the result is four or less. Compute (E +G)(roll 2), (E +G)(roll 3), (E +G)(roll 5), and (E +G)(roll 6).