A logistics operations analyst investigates parcels for two specific errors: Delayed Shipping ( $D$ ) and Mislabeled Address ( $M$ ). 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 $D$ and $M$ .

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 ( $E$ ) 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.

Construct a tree diagram to represent this information, including all branch probabilities for $D$ and $M$ .

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 ( $E$ ) 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.

2.3.2 Diagrams to assist probability calculations

Question 23

Markscheme

2.3.2 Diagrams to assist probability calculations

Question 23

Markscheme

2.3.2 Diagrams to assist probability calculations

Question 23

2.3.2 Diagrams to assist probability calculations Questions

2.3.2 Diagrams to assist probability calculations

Question 23

2.3.2 Diagrams to assist probability calculations Questions