A bottler carefully weighs bottles coming off its production line to check that the system is filling the bottles with the correct amount of beverage. By design, the system is set to slightly overfill the bottles to allow for random variation in the packaging. The content weight is designed to be 922g with standard deviation 11g. Complete parts (a) and (b) below.

(a) A proposed system shuts down the facility if the contents of a bottle weigh less than

900g. What is the chance of a Type I error with this system?