The GATE Grind

GATE Engineering Mathematics: Probability and Statistics: Mean, median, mode, standard deviation, random variables and distributions – Previous Year Questions

3 GATE previous year questions on Probability and Statistics: Mean, median, mode, standard deviation, random variables and distributions (Engineering Mathematics, Mechanical Engineering) with answers and explanations, from every paper.

  1. GATE 2022 ME (ME1) Q47 (2 marks, Numerical answer) – Let a random variable X follow Poisson distribution such that Prob(X = 1) = Prob(X = 2). The value of Prob(X = 3) is (round off to 2 decimal places).
  2. GATE 2023 ME Q11 (1 mark, Multiple choice) – A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components…
  3. GATE 2024 ME Q44 (2 marks, Numerical answer) – Let X be a continuous random variable defined on [0, 1] such that its probability density function f(x) = 1 for 0 x 1 and 0 otherwise. Let Y = e(X +…