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.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.