GATE Engineering Mathematics: Probability and Statistics: Random variables – Previous Year Questions
10 GATE previous year questions on Probability and Statistics: Random variables (Engineering Mathematics, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2015 EE Q11 – A random variable X has probability density function f(x) as given below: f(x) = cases a + bx & for 0 < x < 1 \\ 0 & otherwise cases If the expected…
- GATE 2019 EE Q15 – The mean-square of a zero-mean random process is kTC, where k is Boltzmann's constant, T is the absolute temperature, and C is a capacitance. The…
- GATE 2019 EE Q50 – The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in…
- GATE 2021 EE Q37 – Suppose the probability that a coin toss shows "head" is p, where 0<p<1. The coin is tossed repeatedly until the first "head" appears. The expected…
- GATE 2022 EE Q54 – Let the probability density function of a random variable x be given as f(x)=ae-2 x The value of 'a' is .
- GATE 2023 EE Q25 – One million random numbers are generated from a statistically stationary process with a Gaussian distribution with mean zero and standard deviation o.…
- GATE 2024 EE Q29 – Let X be a discrete random variable that is uniformly distributed over the set \-10,-9,,0,,9,10\. Which of the following random variables is/are…
- GATE 2025 EE Q15 – Consider discrete random variables X and Y with probabilities as follows: P(X=0 and Y=0)=14 P(X=1 and Y=0)=18 P(X=0 and Y=1)=12 P(X=1 and Y=1)=18…
- GATE 2025 EE Q36 – Let X and Y be continuous random variables with probability density functions P X(x) and P Y(y), respectively. Further, let Y=X2 and P…
- GATE 2026 EE Q64 – Let X and Y be two real-valued random variables with E(X)=1, E(Y)=2, E(X2)=4, E(Y2)=9, and E(XY)=0.9, where E denotes the expectation operator. The…