The amount of coffee, XXX ml, dispensed into a cup by machine PPP is normally distributed with a mean of 250 ml250\text{ ml}250 ml and a standard deviation of 8 ml8\text{ ml}8 ml.
Find the probability that a randomly selected cup contains more than 262 ml262\text{ ml}262 ml.
A 'regular' size is defined such that only 2%2\%2% of cups contain less than v mlv\text{ ml}v ml. Find the value of vvv.
The amount of coffee, YYY ml, dispensed by machine QQQ is normally distributed with mean μ\muμ and standard deviation σ\sigmaσ.
Given that P(Y<240)=0.05P(Y < 240) = 0.05P(Y<240)=0.05 and P(Y<265)=0.98P(Y < 265) = 0.98P(Y<265)=0.98, find the value of μ\muμ and the value of σ\sigmaσ.
