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Solve the following questions showing full details. Tables are provided for you in case you need them. Q2. A quality engineer working in a garment industry. She decided to control her process by counting the number of defects/sample where the sample is taken every hour from the production line for a particular product. The engineer considers the process is in control and no further action is needed when less than two defects are found in the sample, otherwise, the process should be checked for out of control. The defects include many types such as stitching alignment, open seam, and unsecured sleeves. The table below represents historical data of 100 samples showing the number of defects/sample regardless of the type of defect. The engineer found that the process has a mean number of defects/sample equal to 3. Answer the following ( 16 points) n=100M=3 a. Draw the relative frequency plot of the number of delects, is the number of defects a random variable? If yes, is it discrete or continuous fexphinj? b. Find the probability of the process is being in control and no furthar action is needed. c. Find the probability of the process being out of control and should be checked. d. What is the domain (possible values of x ) of the probability function you used to solve parts a and b