A coffee machine fills a cup automatically with a volume of coffee normally distributed with expectation...

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A coffee machine fills a cup automatically with a volume ofcoffee normally distributed with expectation 2.2dl and standarddeviation 0.3dl. The cups used can take a volume of coffee withexpectation value 2.5 dl and standard deviation 0.45 dl. The volumeof the coffee machine drops and the volume of a cup isindependent.

What is the probability of it accidentally overflowing with acup?

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Let coffee filled be represented by and volume of cup be We are considering the probability    See Answer
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