1. University A and B play a series of games, with the first team to win 3 games being declared the winner of the series. Suppose that university B independently wins each game with probability 0.45. Find the conditional probability that university A wins the series given that it wins the first game. (6) only do d and e

6. (20 pts) The probability density function of a random variable X is 2.5 -k 4 X > 2). e) What is E X] and Var X]