A company manufactures various household products. Of concern to the company is its relatively low production rate on its powdered detergent production line because of the limited availability of the line itself. The line fails frequently generating considerable downtime. The line has two primary failure modes: Mode A reflects operation failures such as jams, breaks, spills, and overflows on the line and Mode B represents mechanical and electrical failures of motors, glue guns, rollers, belts, etc. Over the last 5_6_L'mestart-ups, the following times in hours until the line shut down were recorded: Answer the following questions: 1. From among the exponential, Weibull, normal and lognormal distributions nd the best fit for each failure mode and for both modes based upon the Least Squares R2 value. (4 marks) 2. From among the exponential, Weibull, normal and lognormal distributions find the best t for Mode A failure based upon Chi-Square Goodness-of-Fit test. (4 marks) 3. From among the exponential, Weibull, normal and lognormal distributions find the best t for Mode B failure based upon Chi-Square Goodness-of-Fit test. (4 marks) 4. Use the Least Squares parameter estimates to compute the reliability that the line will operate for one hour (1) without a Mode A failure, (2) without a Mode B failure, and (3] without either. (4 marks) 5. What conclusion can be reached concerning the operational failures? (4 marks)