The height to which a high jumper can clear is normally distributed with mean 1.80 m1.80\text{ m}1.80 m and standard deviation 0.12 m0.12\text{ m}0.12 m.
Using standardisation, show that the probability that this jumper clears less than 1.74 m1.74\text{ m}1.74 m is 0.30850.30850.3085.
This jumper enters a competition. To qualify for the gala, they have up to 3 attempts to clear a height of more than 1.74 m1.74\text{ m}1.74 m. Once they qualify, they do not take any remaining attempts.
Given that they qualified for the gala and that all jumps are independent,
find the probability that this athlete qualified for the gala on their second jump with a height of more than 1.98 m1.98\text{ m}1.98 m.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 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.
