engineering recuitment NIC NIELIT Scientist B 2023 Mock Test Engineering Mathematics Probability and Statistics Random Variables Basics
A continuous random variable X has probability density \(f\left( x \right) = {e^{ - 2x}},\;0 < x < \infty\). P(X > 2) is \(\beta \;\left( {1 + {e^{ - 4}}} \right)\) where β is constant. Find the value of β?
1
\(\frac{1}{2}\)
2
\(\frac{1}{3}\)
3
\(\frac{1}{4}\)
4
\(\frac{1}{5}\)