Bob is slowly knitting a blanket, made of 100 squares. It takes an average of 1 hour for Bob to knit a square, with a standard deviation of 0.4 hours. The time to knit each square is independent. (You should treat time as continuous for this problem.) a) What is the expectation of the total time to knit the blanket? b) What is the variance of the total time to knit the blanket? c) Bob will have 150 hours to knit between now and when he needs the blanket to be finished to stay warm at a football game. Use Markov's Inequality to give a lower bound on the probability that Bob finishes the blanket before the game. d) Can we improve the lower bound from c) using Chebyshev's inequality? If so, what bound do you get