Help needed on question 4.6

\\c; me A auu 1 iuucpcuucuu 4.6 Magic the Gathering is a popular card game. Cards can be land cards, or other cards. We consider a game with two players. Each player has a deck of 40 cards. Each player shufes their deck, then deals seven cards, called their hand. The rest of each player's deck is called their library. Assume that player one has 10 land cards in their deck and player two has 20. Write L1 for the number of lands in player one's hand and L2 for the number of lands in player two's hand. Write L, for the number of lands in the top 10 cards of player one's library. (3) Write S = L1 + [4. What is P({S = 0})? (b) Write D = L1 L2. What is P({D = 0})? (c) What is the probability distribution for L1? ((1) Write out the probability distribution for P(L1 IL, = 10). (e) Write out the probability distribution P(L1 |Lt = 5). Continuous Random Variables 4.7 A continuous random variable has probability density function p(x) which is proportional to g(x), where