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.
Practise Edexcel A Level Maths Finding Probabilities for Normal Distributions with exam-style questions for A Level Maths. 80 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
