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A paper manufacturing process states (in its specifications) that each piece of paper's weight will be less than the nomial weight of 1.2 grams on NO MORE than 1 occasion in 100. Currently, the process produces to any required mean piece of paper weight with a standard deviation of 0.01 grams. A new process is available which makes to a more consistent weight, the standard deviation of weights being 0.008 grams.

Q1) Sketch the functions that model these 2 cases (current and new process).

Both processes can make 20,000 sheets of paper per minute, and will be required to work for a 40 hour week, 50 weeks a year. The price of paper is around £2 per kilogram.

Q2) Find the annual savings made possible by the new process.

For question one, how are the functions stetched? I thought of using normal distribution tables to work out this question by letting Probability(u < 1.2) = 0.01, however nowhere in the question does it state that the process is normally distributed so I think that's wrong (I have no idea how to approach this question as you can tell).

Any help would be much appriciated.