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.
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.