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4.1.1 Probability (A-level only)

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Question 84

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.

a.

Construct a tree diagram to represent this information, including all branch probabilities for DDD and MMM.

[3]
b.

Find the probability that a randomly selected parcel has exactly one of these two errors: Delayed Shipping or a Mislabeled Address.

[3]
c.

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.

[3]
d.

Calculate the probability that a randomly selected parcel has exactly one of these three flaws.

[3]

4.1.1 Probability (A-level only) Questions

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