The operating lifespan, LLL cycles, of Titan-X high-performance drone batteries is normally distributed with a mean of 450450450 cycles and a standard deviation of 404040 cycles.
Find the probability that a randomly selected Titan-X battery lasts for more than 530530530 cycles.
Batteries that exceed a lifespan of 530530530 cycles are designated as "Elite".
A battery is selected at random. Given that it is designated as Elite,
determine the probability that its lifespan exceeds 550550550 cycles.
Within the Elite category, exactly 15%15\%15% of batteries have a lifespan exceeding kkk cycles.
Find the value of kkk.
Practise Edexcel A Level Maths Conditional Probability with exam-style questions for A Level Maths. 152 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.
