HELPPPPPPPPP PLEASE!!!!!!! Seriously need help on this!!!

Question

A company’s manufacturing process uses 500 gallons of water at a time, a scrubbing machine then removes most of the chemical pollutant before pumping the water into a lake. Legally the treated water should contain no more than 80 parts per million of the chemical, but the machine isn’t perfect and it is costly to operate. Since there are fines if the discharged water exceeds the legal maximum, the company sets the machine to attain an average of 75 ppm. They believe the machine’s output can be described by a normal model with standard deviation 4.2 ppm.

(1) what percent of the batches of water discharged exceed the 80ppm standard?
(2) Company's lawyer insists that they have not more than 2% of the water over the limit. to what mean value should the company set the scrubbing machine? Assume the standard deviation does not change.
(3)achieving a mean that low would raise the cost too much, they decided to leave the mean set at 75 ppm and try to reduce the standard deviation to achieve the "only 2% over" goal. Fine the new standard deviation.

Answer 1

see your last post

 

https://www.wyzant.com/resources/answers/180137/please_help_stats