The specifications of a particular component in a manufacturing process requires that the length of the component be 25 mm. Due to the variation in the manufacturing process the components actually have a mean of 25 mm, a standard deviation of 2 mm and are normally distributed. a. If the length of the component is more than 30 mm, it will be discarded by the quality control check. What proportion of components discarded by the quality control check? b. What is the probability that the length of component will be smaller than 22 mm?