A botanist finds that for a specific species of hybrid orchid, the probability of an individual seed failing to germinate is 0.12.
In a tray containing 50 seeds, find the probability that at least 10 seeds fail to germinate.
A commercial nursery prepares a large batch of 250 seeds. The batch is classified as 'low yield' if more than 40 seeds fail to germinate.
Use a suitable approximation to calculate the probability that the batch is classified as low yield.
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.