## Question 210:

My local coffee house sells Colombian coffee beans to supermarkets in bags labelled 100g each.The tolerance of the automatic filling machine, leads to weights of bags being approximately Normally distributed with standard deviation 5g.

The target mean weight is set at 106g (i.e. the filling machine is set at 6% overfill).

Find the percentage of bags which are below the labelled weight. Show the z-score.

How do i work this out?

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