The discharge duration, D D\,D minutes, of a specialized drone battery is modeled by a normal distribution with a mean of 122.5 minutes and a standard deviation of 3.2 minutes.
Find the probability that a randomly selected battery has a discharge duration exceeding 128 minutes.
Determine the value of d d\,d such that P(122.5<D<d)=0.38P(122.5 < D < d) = 0.38P(122.5<D<d)=0.38.
Two batteries are selected at random from the production line.
Calculate the probability that exactly one of these batteries has a discharge duration between 122.5 minutes and d d\,d minutes.
Practise Edexcel A Level Maths Finding Probabilities for Normal Distributions with exam-style questions for A Level Maths. 80 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.
