A logistics company finds that 35% of their long-distance delivery drones require a battery recalibration after each flight.
State a distribution that is suitable to model the number of drones requiring recalibration in a random selection of 20 drones.
State two conditions for the distribution in part (a) to be a valid model.
Find the probability that: exactly 8 drones in a selection of 20 require recalibration,
Find the probability that: fewer than 12 drones in a selection of 40 require recalibration.
A maintenance supervisor notes that the technical team will be overwhelmed if more than 100 drones in a daily batch of 250 require recalibration.
Using a suitable approximation, find the probability that the technical team will be overwhelmed in a particular batch of 250 drones.
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.
