Question: The fill Problem is important in multiple companies. if an store claims that it is selling 12 litres of its product in a container, it

The "fill" Problem is important in multiple companies. if an store claims that it is selling 12 litres of its product in a container, it must have a mean greater than 12 litres, or else the PPA will crack down, although the PPA will allow a small percentage of the containers to have less than 12 litres.

(a) if the content X of a container has a N(12.1, (sigma)^2) distribution, find sigma so that P(X<12)=0.01.

(b) If the content X of a container has a N(sigma, 0.052) distribution, find p so that P(X<12)=0.01.

(c) if the content X of a container has a N(12.05, (0.03)^2) distribution, find a value c such that we can say P(X>c)=0.99.

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