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

In a locality 'A', the probability of a convective storm event is 0.7 with a density function \[ f_{X_1}(x_1) = e^{-x_1}, \; x_1 > 0 \] The probability of a tropical cyclone-induced storm in the same location is given by the density function \[ f_{X_2}(x_2) = 2 e^{-2x_2}, \; x_2 > 0 \] The probability of occurring more than 1 unit of storm event is \underline{\hspace{3cm}} (rounded off to 2 decimal places).
  • GATE AG - 2023
  • GATE AG
  • Engineering Mathematics
  • Probability
The probability that a storm event with a return period of 20 years will occur once in a 5-year period is \underline{\hspace{6cm}} (rounded off to 2 decimal places).
  • GATE AG - 2023
  • GATE AG
  • Engineering Mathematics
  • Probability
The probability of having 53 Sundays in a randomly selected leap year is __________.
  • GATE AG - 2022
  • GATE AG
  • Engineering Mathematics
  • Probability