A factory produces bags of flour. The weight of flour, WWW grams, in a bag can be modelled by a normal distribution with mean 505 grams and standard deviation 4 grams.
Find P(W<498)P(W < 498)P(W<498).
Find the value of www such that P(505<W<w)=0.35P(505 < W < w) = 0.35P(505<W<w)=0.35.
Two bags of flour are selected at random.
Find the probability that exactly one of the bags contains between 505 grams and www grams of flour.
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.