The probability that a specific variety of tomato seed fails to germinate is 0.06. A gardener plants several trays of these seeds.
Find the probability that
a tray containing 25 seeds has exactly 2 seeds that fail to germinate.
a larger batch of 100 seeds has more than 8 seeds that fail to germinate.
A commercial greenhouse plants a large shipment of 800 seeds.
Using a suitable approximation, find the probability that the greenhouse's shipment will contain less than 40 seeds that fail to germinate.
Practise Edexcel A Level Maths Approximating a Binomial Distribution with exam-style questions for A Level Maths. 68 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.