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Difficulty: MediumCategorical Classification and Sorting

A metropolitan transit authority categorizes electric buses into three maintenance tiers based on two performance metrics: Cumulative Mileage (in thousands of kilometers) and Battery State of Health (SoH) (as a percentage).

The classification policy dictates:
- Tier I (Standard Operation): Cumulative Mileage ≤200\le 200 thousand km AND Battery SoH ≥85%\ge 85\%.
- Tier II (Battery Refurbishment): Cumulative Mileage ≤300\le 300 thousand km with Battery SoH between 70%70\% and 84%84\% (inclusive); OR Cumulative Mileage between 201201 and 300300 thousand km (inclusive) with Battery SoH ≥85%\ge 85\%.
- Tier III (Fleet Retirement): Cumulative Mileage >300> 300 thousand km OR Battery SoH <70%< 70\% regardless of mileage.

Two buses in the fleet present the following data:
- Bus X: Cumulative Mileage = 160160 thousand km; Battery SoH = 90%90\%
- Bus Y: Cumulative Mileage = 180180 thousand km; Battery SoH = 82%82\%

Based on the classification policy, which of the following correctly pairs Bus X and Bus Y with their respective maintenance tiers?

  1. A
    Bus X is assigned to Tier II, and Bus Y is assigned to Tier I.
  2. B
    Bus X is assigned to Tier I, and Bus Y is assigned to Tier I.
  3. Bus X is assigned to Tier I, and Bus Y is assigned to Tier II.Answer
  4. D
    Bus X is assigned to Tier II, and Bus Y is assigned to Tier II.
  5. E
    Bus X is assigned to Tier III, and Bus Y is assigned to Tier II.

Answer

Bus X is assigned to Tier I, and Bus Y is assigned to Tier II.
Evaluating Bus X: Mileage of 160 thousand km is ≤ 200 and Battery SoH of 90% is ≥ 85%, satisfying both criteria for Tier I. Evaluating Bus Y: Mileage of 180 thousand km is ≤ 300 and Battery SoH of 82% is between 70% and 84%, satisfying Tier II. Thus, Bus X is assigned to Tier I and Bus Y to Tier II.

Step-by-Step Solution

1
Evaluate Bus X against the classification rules
Bus X has Cumulative Mileage = 160 thousand km (≤ 200) and Battery SoH = 90% (≥ 85%). Both conditions for Tier I (Standard Operation) are met.
Tier I requires both mileage ≤ 200 thousand km and SoH ≥ 85%.
2
Evaluate Bus Y against the classification rules
Bus Y has Cumulative Mileage = 180 thousand km (≤ 300) and Battery SoH = 82% (between 70% and 84%). This fits the first clause of Tier II (Battery Refurbishment).
Although Bus Y's mileage is under 200 thousand km, its SoH of 82% falls below the Tier I requirement of 85% but fits within the 70%–84% range specified for Tier II.
3
Combine the evaluations to select the correct paired response
Bus X belongs to Tier I and Bus Y belongs to Tier II.
Both individual classifications match this paired statement.

Key Concept

Multi-attribute categorical classification based on compound conditional logic
Estimated Time:1m 30s
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Topics

Categorical Classification and Sorting

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