1. If heads is a success when we flip a coin, getting a sic is a success when we roll a die, and getting an ace is a success when we draw a card from an ordinary deck of 52 playing cards, find the mean and the standard deviation of the total number of successes when we
(a) flip a balanced coin, roll a balanced die, and then draw a card from a well-shuffled deck;
(b) flip a balanced coin three times, roll a balanced die twice, and then draw a card from a well-shuffled deck.
2. If we alternately flip a balanced coin and a coin that is loaded so that the probability of getting heads is 0.45, what are the mean and the standard deviation of the number of heads that we obtain in 10 flips of these coins?