The mass of thermal paste in 'Grade-A' high-precision dispensers is normally distributed with a mean of 18.4 g and a standard deviation of 0.8 g.
Calculate the probability that a randomly selected Grade-A dispenser contains a mass of paste exceeding 17.0 g.
A prototype dispenser, 'Model-Z', is currently calibrated to the 92nd92\text{nd}92nd percentile for mass compared to the Grade-A population. Estimate the mass of paste in a Model-Z dispenser.
The mass of paste in 'Grade-B' dispensers follows a normal distribution with a standard deviation of 1.2 g. Given that 98% of Grade-B dispensers contain more paste than the mean mass of the Grade-A dispensers,
determine the mean mass of paste in a Grade-B dispenser.
