The concentration of a specific catalyst, C C\,C mg/L, in a chemical reaction follows a normal distribution where C∼N(μ,12.52)C \sim N(\mu, 12.5^2)C∼N(μ,12.52). Observations show that the catalyst concentration exceeds 145.6 mg/L in only 8.85% of trials.
Determine the value of the mean concentration μ\muμ.
Find the probability that the catalyst concentration in a randomly selected trial lies between the mean and 145.6 mg/L.
147 exam-style questions on OCR A Level Maths 2.4.6 Probabilities using the normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.