(Q5) Go to this link for the z-table. http://www.z-table.com/

5. The net weights of a regular bag of a new powdered detergent are normally distributed with mean 380 grams. The quality control inspector rejects bags that are at most 350 grams. a. Find the standard deviation if only 2% of the bags of detergents are rejected. b. Using the U on problem 6a, find the probability of getting a bag of detergent weighing between a standard deviation away from the mean. c. If the standard deviation is 15 grams, what percent of the bags of detergents will pass