Final answer:
The expected value of Y, the total number of home runs in two games, is the sum of the expected number of home runs per game. The variance of Y is the sum of the individual variances due to the independence of games.
Step-by-step explanation:
The question provided pertains to random variables and their properties such as expected value (E(Y)) and variance (Var(Y)). In the context of baseball, the random variable Y represents the total number of home runs scored in two independent games. To find the expected value of Y, we would add the expected values of home runs in each game. The variance of Y would be the sum of the variances of home runs in each game, due to the independence of the number of home runs between games.
The expected value, or the mean of a random variable, is a measure of the central tendency and in this case, it would be the average number of home runs expected per game multiplied by the number of games played. Variance is a measure of the spread of the random variable's probability distribution, and it quantifies the expected squared deviation of the random variable from its mean.