GATE Engineering Mathematics: Probability and statistics – Previous Year Questions
9 GATE previous year questions on Probability and statistics (Engineering Mathematics, Instrumentation Engineering) with answers and explanations, from every paper.
- GATE 2021 IN Q47 – Independent continuous random variables have uniform distributions X U(2,3) and Y U(1,4). The probability P(Y X) is (two decimal places).
- GATE 2022 IN Q32 – A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and…
- GATE 2023 IN Q32 – A discrete random variable X takes values 0, 1, 2, with P(X=0)=0.25 and P(X=1)=0.5. If E[] denotes expectation, E[X]-E[X2] is (one decimal place).
- GATE 2023 IN Q49 – How many five-digit numbers can be formed using the integers 3, 4, 5 and 6 with exactly one digit appearing twice?
- GATE 2024 IN Q35 – Indian Premier League has divided the sixteen cricket teams into two equal pools: Pool-A and Pool-B. Four teams of Pool-A have blue logo jerseys while…
- GATE 2024 IN Q65 – A random variable X has density f X(x)=e-x for x0 and zero otherwise. The probability P(X>2) is (three decimal places).
- GATE 2025 IN Q52 – The probability of a student missing a class is 0.1. In a total number of 10 classes, the probability that the student will not miss more than one…
- GATE 2026 IN Q31 – A data set is given to be [1, 2, 0, −1, −3, 1, 2, 0, 1]. The median of the data set is . (Rounded off to the nearest integer.)
- GATE 2026 IN Q36 – A box contains three apples and two oranges. Two fruits are removed randomly in succession. The probability that the first is an apple and the second…