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.
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.