A manufacturer produces high-precision capacitors. The capacitance, CCC millifarads (mF), follows a normal distribution with a mean of 220 mF and a standard deviation of 12 mF.
Determine the probability that a randomly chosen capacitor has a capacitance greater than 241 mF.
Given that P(c<C<220)=0.42P(c < C < 220) = 0.42P(c<C<220)=0.42, calculate the value of ccc.
Two capacitors are selected at random. Calculate the probability that exactly one of them has a capacitance between ccc mF and 220 mF.
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.