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List of top Engineering Mathematics Questions on Probability asked in GATE ES

A residential family is considering two cities for relocation. The data related to pollutant exposure and associated health cost per year are given in the following figure.

The pollutant exposure is characterized in high, mild and low exposure categories with respective probability values. The difference in expected value of health cost of City1 with respect to that of City 2 is ________ lakhs/year. (rounded off to two decimal places).

  • GATE ES - 2025
  • GATE ES
  • Engineering Mathematics
  • Probability

A residential family is considering two cities for relocation. The data related to pollutant exposure and associated health cost per year are given in the following figure.

The pollutant exposure is characterized in high, mild and low exposure categories with respective probability values. The difference in expected value of health cost of City1 with respect to that of City 2 is ________ lakhs/year. (rounded off to two decimal places).

  • GATE ES - 2025
  • GATE ES
  • Engineering Mathematics
  • Probability
A biased die has six faces numbered as \( k = 1, 2, 3, 4, 5, 6 \). On rolling the die, the probability of the number \( k \) appearing is proportional to \( k^2 \). What is the probability that an even number will appear on rolling the die?
  • GATE ES - 2021
  • GATE ES
  • Engineering Mathematics
  • Probability