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.
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.