A pharmaceutical lab fills vials with a reagent. The volume of reagent in a vial, VVV ml, is modeled by a normal distribution with mean 125.2125.2125.2 ml and standard deviation 0.850.850.85 ml.
Determine the probability that the volumes of reagent in two randomly chosen vials differ by more than 2.02.02.0 ml.
Vials are transported in batches of 15 using a specialized storage rack. The volume of the storage rack itself, RRR ml, is modeled by a normal distribution with mean 320.0320.0320.0 ml and standard deviation 2.52.52.5 ml.
Calculate the probability that the total volume of a randomly selected storage rack fully loaded with 15 vials exceeds 220522052205 ml.
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.