Problem 1: Flipping an unfair coin, the probability of a head is 0.6. 1. What is the probability of a tail? 2. We toss this coin three times. Let X be the number of heads. What is the probability distribution of X? 3. Find the probability that the number of heads is less than 2, i.e., P(X<2). 4. What is the expectation of X, i.e., E(X)? 5. What is the variance of X? 6. Find E(3x+6) and Var(3x+6) 7. What is the probability distribution of 3X+6?