Hi, please help with this.

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 overows 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)