In a drawer, you have 20 pairs of socks (40 in total) and 6 pairs are red. For a random variable For a random variable A which represents the number of single draws made until you get a red sock for the first time; What are the values of the random variable A and its probability? (2pts) o What is the probability of obtaining a red sock for at most 4 draws? (2 pts) o What is the probability of obtaining a red sock for more than 4 draws? (1 pt) Suppose that the random variable F is uniformly distributed between x = -3 and x = 8. o Illustrate the PDF and find the probability. (3 pts) What is the probability that F exceeds -1.5 but not 5? (2 pts)