engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Probability and Random Variable Random Variables
A Gaussian random voltage V having σV as the variance and zero mean appears across a 200 Ω resistor with a power rating of 0.125 W. Find the probability that the voltage will cause an instantaneous power that will not exceed the resistor rating.
1
\(2F\left( {\frac{5}{{{\sigma_V}}}} \right) + 1\)
2
\(1- 2Q\left( {\frac{5}{{{\sigma_V}}}} \right)\)
3
\(2F\left( {\frac{5}{{{\sigma_V}}}} \right)\)
4
\(2Q\left( {\frac{5}{{{\sigma_V}}}} \right) + 1\)