There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
t are normally distributed with mean 3 cm and standard deviation 0.1cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.02 cm. Acceptable corks have diameters between 2.9 and 3.1 cm. (a)-What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
(b)-What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
I got this by taking the 3 test scores that were provided and adding them then subtracting that by 360 (90x4 - which would give you a 90 in the end) so I had 360 - 262 which equaled 98 and that would be the score needed to have a 90 in the end.
