(3+5+5+7+10=30 points) A contractor is planning to bid on a small construction project and finds that the number of days, , required to complete it, has a discrete distribution with probability mass function given in the following table: X 10 11 12 13 p(x) 0.15 0.20 0.35 ? 1. What is the probability that it will take him exactly 13 days to complete the project? 2. Given that it will take 11 or more days to complete the project, what is the probability that it will take him exactly 13 days to complete the project? 3. Calculate the expected value of X i.e. E(X). 4. Calculate the variance of X, i.e., V(X). 5. Find V[3X+10].