In a regional market survey, it is observed that approximately 35% of visitors to a specific artisanal craft market make a purchase from a pottery stall.
Determine the probability that in a randomly selected group of 75 visitors, at least 32 of them make a purchase from the pottery stall.
Find the probability that in a randomly selected group of 12 visitors, exactly 5 of them make a purchase from the pottery stall.
Using a suitable approximation, find the probability that in a randomly selected season where there are 1200 visitors to the market, there are at least 450 who make a purchase from the pottery stall.
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.