The number of home runs scored by a certain team in one baseball game is a random variable with the distribution (pmf), f(x) = P(X : %3D 1 f(x) 0.7 0.2 0.1 (a) What is the probability of scoring at least 1 home run in a game? (b) Given that the team scores at least one home run in a game, what is the probability that it scores two? (c) Find the mean number of home runs per game (d) Find the standard deviation of home runs per game