Complete Questions Below by 12:30est please, need work shown!

5. (6 points) A building contractor buys 70% of his cement from supplier A and the rest from Other Suppliers. A total of 90% of the bags from supplier A arrive undamaged, while 95% of bags from Other Suppliers arrive undamaged. (a) Find the probability that a damaged bag is from supplier A. (b) Find the probability that a damaged bag is from Other Suppliers.6. (10 points) Consider the following process data from eight samples in a certain production line. Sample1 60 70 60 80 30 90 80 Sample2 40 30 50 50 30 10 80 Sample3 80 80 70 20 70 80 100 Sample4 60 60 90 40 100 70 60 Sample5 50 60 30 50 60 80 50 Sample6 40 60 70 40 70 90 60 Sample7 80 90 60 90 110 80 80 Sample8 80 100 80 20 80 70 70 The quality control manager would like to test whether the variation of the units is within statistical control using a control chart for variation. (a) Compute the centerline, R. (b) Compute the Upper Control Limit, UCL. (c) Compute the Lower Control Limit, LCL