GATE Engineering Mathematics: Probability and Statistics – Previous Year Questions
14 GATE previous year questions on Probability and Statistics (Engineering Mathematics, Mining Engineering) with answers and explanations, from every paper.
- GATE 2021 MN Q16 – Which set consists only of measures of dispersion?
- GATE 2021 MN Q23 – The standard normal distribution is described in the source as which type?
- GATE 2021 MN Q24 – For independent random variables X, Y, what is Var(X+Y)?
- GATE 2021 MN Q46 – Test H₀:mean Fe=62% against Hₐ:mean Fe<62%. A sample of five grades is 58%, 56%, 60%, 64%, 62%. Find the one-sample t statistic.
- GATE 2021 MN Q59 – X takes−2, 3, 1 with probabilities 1/3, 1/2, 1/6 respectively. Find E(X²), to one decimal.
- GATE 2022 MN Q37 – Match plots P–S to attributes I: x> y, 0<<1; II: y> x, =1; III: y> x, 0<<1; IV: x= y, =1. Here σ denotes standard deviation and ρ the Pearson…
- GATE 2022 MN Q44 – Daily probability of full COVID-bed occupancy at a health centre is 0.8. Under the binomial model, find probability of exactly five full-occupancy…
- GATE 2023 MN Q16 – For random variables X and Y, what is E(3X−5Y)?
- GATE 2023 MN Q42 – An ordinary least-squares line for 50 observations of shovel production versus swing angle has intercept estimate 29.6 (standard error 13.45) and…
- GATE 2024 MN Q45 – Mines M 1, M 2, M 3 supply 60%, 25%, 15% of coal. Their probabilities of below-Grade 1 wagons are 0.02, 0.03, 0.04. A sampled wagon is below Grade 1.…
- GATE 2025 MN Q30 – Find the interquartile range of the data represented by the box plot, as an integer.
- GATE 2025 MN Q52 – Five Fe-grade observations are62,64,63,60,61 percent. Estimate the standard error of their mean,as a percentage to three decimals.
- GATE 2026 MN Q15 – Match P binomial,Q Poisson,R normal,S exponential to these probability laws. (1) f(x)=e-(x-)2/(22)/(2); (2) f(x)= nx px(1-p)n-x for x=0,…,n; (3)…
- GATE 2026 MN Q48 – For data x=(2,3,4,5),y=(8,9,7,16), the least-squares line is y=2.2x+2.3 and residual sum of squares25.8. Find coefficient of determination r² to two…