GATE Engineering Mathematics: Probability and Statistics – Previous Year Questions
14 GATE previous year questions on Probability and Statistics (Engineering Mathematics, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2017 EC Q14 – Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to…
- GATE 2015 EC Q13 – Suppose A and B are two independent events with probabilities P(A) 0 and P(B) 0. Let A and B be their complements. Which one of the following…
- GATE 2016 EC Q12 – The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is
- GATE 2018 EC Q33 – Let X 1, X 2, X 3, and X 4 be independent normal random variables with zero mean and unit variance. The probability that X 4 is the smallest among the…
- GATE 2019 EC Q28 – If X and Y are random variables such that E[2X+Y]=0 and E[X+2Y]=33, then E[X]+E[Y]= .
- GATE 2020 EC Q35 – The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let M and N denote the labels of the outcomes of…
- GATE 2020 EC Q64 – X is a random variable with uniform probability density function in the interval [-2,10]. For Y=2X-6, the conditional probability P(Y7\, \,X5)…
- GATE 2021 EC Q13 – Two continuous random variables X and Y are related as Y=2X+3 Let X2 and Y2 denote the variances of X and Y, respectively. The variances are related…
- GATE 2021 EC Q37 – A box contains the following three coins. I. A fair coin with head on one face and tail on the other face. II. A coin with heads on both the faces.…
- GATE 2022 EC Q31 – The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in 17 of her matches, the bowler…
- GATE 2024 EC Q33 – Suppose X and Y are independent and identically distributed random variables that are distributed uniformly in the interval [0,1]. The probability…
- GATE 2025 EC Q13 – A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement. What is the probability that the two…
- GATE 2025 EC Q58 – Two fair dice (with faces labeled 1, 2, 3, 4, 5, and 6) are rolled. Let the random variable X denote the sum of the outcomes obtained. The expectation…
- GATE 2026 EC Q38 – Let X, N, Y and Z be random variables. The variables X and N are independent of each other. X is uniformly distributed between -1 and 1; N follows…