GATE Engineering Mathematics: Probability and Statistics – Previous Year Questions
13 GATE previous year questions on Probability and Statistics (Engineering Mathematics, Production and Industrial Engineering) with answers and explanations, from every paper.
- GATE 2021 PI Q47 – A discrete random variable has P(X=x)=1/2x, x = 1,2,… . Find E[X] (integer).
- GATE 2021 PI Q48 – Airport security-screening time is exponential with mean 15 min. A passenger must clear within 15 min to catch a flight. Find probability of missing…
- GATE 2022 PI Q25 – A lot has ten spur gears, one defective. Three are drawn randomly without replacement. Find the probability all three are nondefective, to two…
- GATE 2022 PI Q38 – A normally distributed parameter was surveyed with n = 1000, giving confidence interval [500,700], mean 600. What sample size gives [550,650] at the…
- GATE 2023 PI Q14 – Three unbiased coins are tossed. Given that at least two outcomes are tails, find the probability that all three are tails.
- GATE 2023 PI Q37 – Two cards are drawn successively without replacement from a standard 52-card deck. Find the probability that their suits differ.
- GATE 2024 PI Q31 – A continuous variable has density f(x) = K/4 on 0 ≤ x ≤ 1, and zero otherwise. Find K (integer).
- GATE 2024 PI Q45 – Seven mixed cards numbered 1–7 are in a box. One is drawn randomly and known to be odd. Find the conditional probability that it exceeds four (integer…
- GATE 2025 PI Q15 – A bag has five red, seven green and three blue balls. Two balls are drawn randomly one after another. Find the probability that the second is red.
- GATE 2025 PI Q58 – Marketing expenditure x and annual profit y over three years are (3,22),(4,27),(6,36), in common units. Use linear regression to estimate year-four…
- GATE 2026 PI Q28 – Which ONE OR MORE values can be a correlation coefficient?
- GATE 2026 PI Q31 – A box contains five coated and ten otherwise identical uncoated cutting inserts, randomly mixed. An operator takes four simultaneously for a…
- GATE 2026 PI Q61 – Soldering-defect count per semiconductor device is Poisson with p(x)=e-x/x! and mean three. Find the probability a randomly chosen device has at least…