Problem 3: (15 points) Cattle are often fattened in a feedlot before being shipped to a slaughterhouse. Suppose the weight gain per steer at a feedlot average 1.75 pounds per day, with a standard deviation of 0.295 pounds. Assume that the weight gain is normal distributed. a. What is the probability a steer will gain over two pounds on a given day? Round your answer the nearest percentage point. Show your work. (5 points) b. What is the probability that the average weight gain of 25 steers will be less than two pounds on a given day? Show your work. (6 points) c. What is the probability that in a random sample of 10 steers, more than 5 will gain over two pounds on a given day? Show your work. (4 points) Edit Format Table