A botanical study conducted in a vast alpine meadow finds that the probability of a specific mountain flower species exhibiting a rare white-petalled phenotype is 0.06.
Determine the probability that in a random sample of 150 such flowers, there are at least 12 that exhibit the white-petalled phenotype.
Find the probability that in a random sample of 25 flowers, there are exactly 2 with the white-petalled phenotype.
Using a suitable approximation, find the probability that in a large-scale survey of 7500 flowers, there are at least 475 with the white-petalled phenotype.
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.