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.
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.