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(500, 10²).

A 510ml cup is used and the probability it overflows is 0.1587.

The manager wants to decrease the mean amount of liquid to a new value M, such that the probability of overflow is only 0.001. Find the correct value of M. (Show all working)

Answer rating: 100% (QA)

To find the mean value M such that the probability of overflow is only 0001 we need to calcul... View the full answer