A botanical research company specializes in a hybrid variety of orchid seeds. It is found that the probability of a single seed producing a 'Gold-veined' flower is 0.2.
Determine the probability that in a randomly selected packet of 25 seeds, exactly 3 seeds produce Gold-veined flowers.
A wholesaler purchases 5 of these 25-seed packets. Calculate the probability that exactly two of these packets contain at least 8 seeds that produce Gold-veined flowers.
A large experimental plot is planted with n n\,n seeds of this hybrid orchid. Using a normal approximation, it is found that the probability that at least 95 seeds produce Gold-veined flowers is 0.0401. Find the value of nnn.
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.