A logistics operations analyst investigates parcels for two specific errors: Delayed Shipping (DDD) and Mislabeled Address (MMM). The probability that a parcel is delayed is 0.15. If a parcel is delayed, the probability that it is also mislabeled is 0.20. If a parcel is not delayed, the probability that it is mislabeled is 0.06.
Construct a tree diagram to represent this information, including all branch probabilities for DDD and MMM.
Find the probability that a randomly selected parcel has exactly one of these two errors: Delayed Shipping or a Mislabeled Address.
The analyst also notes that a parcel can suffer External Damage (EEE) with a probability of 0.10, and this flaw is independent of shipping delays or labeling errors.
Determine the probability that a randomly selected parcel has none of these three flaws.
Calculate the probability that a randomly selected parcel has exactly one of these three flaws.
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.
