Probability and Random Variables
GATE Electronics & Communication · 3 questions across 1 years (2019-2019) · 3% recurrence rate
Recurrence sparkline
2019–201920192019
Difficulty mix
med 67%
hard 33%
Question types
NAT3
All 3 questions on Probability and Random Variables
2019 Q18
If X and Y are random variables such that E[2X + Y] = 0 and E[X + 2Y] = 33, then E[X] + E[Y] = _________.
Med
2019 Q20
Let Z be an exponential random variable with mean 1. That is, the cumulative distribution function of Z is given by $F_Z(x) = \begin{cases} 1 - e^{-x} & \text{if } x \ge 0 \\ 0 & \text{if } x 2 | Z > 1), rounded off to t...
Med
2019 Q47
A random variable X takes values -1 and +1 with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise N, so that the random variable at the channel output is Y = X + N. The noise N...
Hard