GATE Engineering Mathematics: Probability and statistics – Previous Year Questions
11 GATE previous year questions on Probability and statistics (Engineering Mathematics, Metallurgical Engineering) with answers and explanations, from every paper.
- GATE 2021 MT Q25 – Annealed-specimen grain size X has a symmetric distribution with mean =5 μm and standard deviation =0.5 μm. Given P(X+2)=0.98, the percentage with…
- GATE 2021 MT Q49 – A coin is tossed three times. Given more heads than tails, the probability of exactly one tail is (two decimal places).
- GATE 2022 MT Q34 – For normally distributed observation errors, the interval 1.96, where is standard deviation, corresponds to % confidence (nearest integer).
- GATE 2022 MT Q64 – A set of 11 (x, y) data points is least-squares fitted to a quadratic polynomial. If the sum of squares of error is 2.4, the variance of error is…
- GATE 2023 MT Q31 – Three exam setters have probabilities 1/2,1/3,1/4 of setting an easy paper. Each sets one paper. The probability that at least one paper is easy is…
- GATE 2024 MT Q11 – Independent normally distributed variables X 1,X 2 have means 1, 2 and variances 1, 2. Their sum X=X 1+X 2 has mean and variance satisfying
- GATE 2024 MT Q13 – The figure shows normal distributions a,b,c. For distribution p, p is standard deviation and p is mean; all means are positive. Which deduction is…
- GATE 2024 MT Q51 – Experimental data are (x,y)=(1,8),(2,15),(3,19). A line y=mx+c is fitted by least squares. Its slope m is (one decimal place).
- GATE 2025 MT Q35 – A linear regression model was fitted to (x,y) data. The total sum of squares and sum of squares of error are 1200 and 120, respectively. The…
- GATE 2026 MT Q33 – A box contains 20 thermometers, 3 of which are defective. One person randomly draws 2 thermometers from the box, one-by-one, without replacement. The…
- GATE 2026 MT Q44 – Consider a distribution with probability density f(x)=cases0.5,&0<x<2,\\0,&otherwise.cases Given that its mean is 1, the variance is . (Rounded off to…