03 Problem 3 3 Points XYZ Optics, Inc specializes in making lenses for high-precision laser crating tools. The company generates a prot of $100 for each lens it makes that meets specications: however. it loses $1000 for each had lens that does not meet specs. The company is having problems meeting a specication for lens 'wayiness'. Madness is basically maximum lens thickness minus minimum lens thickness] Lens with a waviness greater than 0.050 mm cannot be sold, and currently the companys lenses have an average waviness of 0.030 mm with a standard deviation of 0.015 mm. You may assume these descriptive statistics are population values. and you may also assume that the waviness values for the lenses are normally distributed. Flnally. you may assume that all oil-tel specications are being meet for all lenses. 133.1 Part [a] 5 Points Under current conditions. how much prot or loss does the company expect to make for each lens It manufactures? 93.2 Part [b] 3 Points In order to malte sufcient prot. the oompany wishes to modlty its manufacturing process so that the probability of a lens meeting the wanass specication is 925%. Assuming that the standard devlatlon of waylness remains at ontomm. what must the average wayiness be to meet this lJoel