Don't copy anyone else work please

1. (6 pts) Suppose that the actual amount of instant coffee that a filling machine puts into "6-ounce" jars is a random variable having a normal distribution with o = 0.05 ounce. If only 3% of the jars are to contain less than 6 ounces of coffee, what must be the mean fill of these jars? 2. (8 pts) 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. 3. (8 pts) Someone is waiting for E train in Jamaica Station. The probability that the next train is E train is 0.25. If the first two trains are not E train, what is the probability that E train will come after the first 5 trains