Suppose a company manufactures wooden chairs. The manufacturing process has two main components, sanding and varnishing. Suppose on average, each chair takes 18 minutes to sand, with a standard...

Manufacturing Wooden Chairs

Extracted text: Suppose a company manufactures wooden chairs. The manufacturing process has two main components, sanding and varnishing. Suppose on average, each chair takes 18 minutes to sand, with a standard deviation of 4 minutes. After sanding, employees have a fixed 2 minute interval for the dust to settle from the chairs. Then, employees varnish the chairs. Varnishing on average takes 21 minutes with a standard deviation of 5 minutes. Assume sanding and varnishing times are independent of each other, and the entire process has a distribution that is approximately normal. a. Describe the distribution of the combined total process of sanding and varnishing. b. Find the probability that a randomly selected chair takes more than 45 minutes for the entire sanding and varnishing process. c. Suppose 6 chairs are randomly selected. What is the probability all of these chairs take more than 45 minutes for the entire sanding and varnishing process? d. Suppose 6 chairs are randomly selected. What is the probability at least one of these chairs take more than 45 minutes for the entire sanding and varnishing process?