Oliver has invited 10 people to his birthday party. Five of them are family members and the other five are friends. Each of the family members will definitely attend, while each friend will attend with a probability of 0.6, independently of one another. There is only enough birthday cake for eight guests (after Oliver has his piece).
(a) Find the probability that all the guests will get cake.
(b) Let Y be the number of guests who do not get cake. Find E(Y).