A production process manufactures items with weights that are normally distributed with mean 17 pounds and standard deviation 0.1 pound. An item is considered to be defective if its weight is less than 16.85 pounds or greater than 17.15 pounds. Suppose that these items are currently produced in batches of 500 units. a) (7 points) Find the probability that an inspected item is defective. b) (7 points) Find the probability that at most 10% of the items in a given batch will be defective. c) (6 points) Find the probability that at least 90% of the items in a given batch will be acceptable. Hint: Find the probability that an item is defective using Normal probabilities. Then, you can model number of defectives out of 500 as Binomial