I have a final exam in probability and I faced a question that made me think of the logic and the concept of the normal distribution.(adsbygoogle = window.adsbygoogle || []).push({});

Here is the question:

A food industry company imports oil in big tanks and refills bottles of different sizes with it. One of the main filling sizes is the 3000 ml, where the nominal value is 3000 ml but the actual size is a normally distributed random variable N(3000,4). The filling process acceptable specifications are 3000 ± 10 ml.

a) Determine the proportion of bottles that will be out of specifications.

My question is:

Based on my knowledge, I know that the normal distribution function would represent the probability that awould be out of specifications and not the proportion ofsingle bottlethat will be out of specifications.bottles

Am I right? If so, how can I solve such a problem?

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# Question about normal distribution in probabilty

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