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.
390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.