Applications of Normal Distributions Suppose that a manufacturing facility is producing a support beam that is intended to be exactly 10 cm in length, however the beam can be as short as 9.75 cm or as long as 10.5 cm and still fulfill its purpose. Assume that the variation in beam lengths can be modeled as a Normal Distribution, and answer the following questions. Question 26 (2 points) Suppose that the average beam produced has a length of 9.5 cm with a standard deviation of 0.5. What is the probability that a bar chosen at random would be 9.3 cm or more? Express your answer with four decimal points. Question 27 (2 points) A Suppose that a new version of the product is released which has looser tolerances. Also suppose that management had enough foresight to re-center the manufacturing process to 10 cm and lowered the standard deviation to 0.3 cm. Further suppose that the new tolerances are between 9.25 and 10.25; use P(X