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Marco runs a small dairy farm that also processes milk products on-site. One popular product produced on the farm is a small bottle of cream.

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Marco runs a small dairy farm that also processes milk products on-site. One popular product produced on the farm is a small bottle of cream. Marco knows that the volume of cream placed into bottles is normally distributed, where the mean volume is 250 mL and standard deviation is 2.1 mL. (a) If Marco feels that a volume of cream less than 243.7 mL is too low to be sold, what proportion of bottles of cream produced were unfit for sale? Use the empirical rule to answer this question. (b) Marco is thinking of developing a new product, which will involve adding a flavour to his cream. He thinks that bottles of cream above 255 mL will not be able to take the additional volume of flavouring and therefore will be unsuitable for sale. If 3700 bottles of cream were produced in the last 6 months, how many bottles of cream would be unsuitable for sale as this flavoured product? Use the NORMDIST formula in excel to answer this question and give your answer to the nearest bottle of cream

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