There аre twо quаlity cоntrоl plаns being proposed for video game contollers. If the manufacturing process is working properly, the weight of the controller is approximately normally distributed with a specified mean and standard deviation. Quality control plan #1 calls for rejecting a controller as "defective" if its weight falls more than 2 standard deviations below the specified mean Quality control plan #2 calls for rejecting a set of headphones as "defective" if its weight falls more than 1.5 interquartile ranges below the lower quartile of the specified population. Assume the manufacturing process is working properly. What proportion of controllers will be rejected by plan #1? [answer1] What proportion of controllers will be rejected by plan #2? [answer2] NOTE: Type in answers with a leading 0 and round to four decimal places (Example 0.1234). You will upload your handwritten WORK in the following problem.