Consider a normally distributed process that cuts wood with a "process center" of 18 inches and a standard deviation of .09 inches. The lower specification limit is 17.84 inches, and the upper specification limit is 18.19 inches. A piece of wood that is cut too short must be scrapped at a cost of $17.00. A piece of wood that is cut too long must be re-cut by hand at a cost of $5.20. The firm runs 12,000 pieces of wood through the machine per day and works 342 days per year. u=18 -0.09 $17.00 $5.20 17.84 18.19 (Please round to four decimal places for a &b and nearst integer for the rest) a. P(size of piece of wood s 17.84) = b. P(size of piece of wood > 18.19) = c. Annual Outputs = pieces d. Annual fixing cost for too long pieces = $ per year e. Annual fixing cost for too short pieces = $ per year Consider a normally distributed process that cuts wood with a "process center" of 18 inches and a standard deviation of .09 inches. The lower specification limit is 17.84 inches, and the upper specification limit is 18.19 inches. A piece of wood that is cut too short must be scrapped at a cost of $17.00. A piece of wood that is cut too long must be re-cut by hand at a cost of $5.20. The firm runs 12,000 pieces of wood through the machine per day and works 342 days per year. u=18 -0.09 $17.00 $5.20 17.84 18.19 (Please round to four decimal places for a &b and nearst integer for the rest) a. P(size of piece of wood s 17.84) = b. P(size of piece of wood > 18.19) = c. Annual Outputs = pieces d. Annual fixing cost for too long pieces = $ per year e. Annual fixing cost for too short pieces = $ per year