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A soft drink machine dispenses soft drink into cups.Let the amount of liquid dispensed into a large drink (in ml) be given by the random

A soft drink machine dispenses soft drink into cups.Let the amount of liquid dispensed into a large drink (in ml) be given by the random variable Y where Y ~ N(600, 15²).

A 620ml cup is used and the probability it overflows is 0.0918.

The manager wants to decrease the mean amount of liquid to a new value M, such that the probability of overflow is only 0.01.Find the correct value of M.(Show all working)

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