The GATE Grind

GATE 2025 ES – Question 24

Mathematics Foundation · Probability and Statistics · 1 mark · Multiple select

Consider (i) Pollutant concentrations are generally modeled as lognormal;(ii) concentrations are generally Poisson;(iii) weekly exceedance frequency is generally lognormal;(iv) weekly exceedance frequency is generally Poisson. Select all correct options.

  1. (i) and (iv) correct
  2. (i) correct and (iii) incorrect
  3. (ii) and (iv) correct
  4. (ii) and (iv) incorrect

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Show answer and explanation

Correct answer: (A) (i) and (iv) correct; (B) (i) correct and (iii) incorrect

Explanation

Positive, right-skewed concentration data are often modeled with a lognormal distribution. Counts of rare, independent exceedances over a fixed period can be modeled by Poisson. Thus (i),(iv) are the intended true statements and (ii),(iii) false, so **A, B**. These are modeling conventions requiring distributional and event-independence checks, not universal laws.

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