engineering recuitment GATE CE 2023-24 Test Series Engineering Mathematics Probability and Statistics Random Variables Basics
If a continuous random variable has the following probability density function
\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {2k{x^4},\;\;0 \le x \le 1,}\\ {0,\;\;otherwise;} \end{array}} \right.\)
Then the value of k is ________.1
\(\frac{7}{2}\)
2
\(\frac{3}{2}\)
3
\(\frac{5}{2}\)
4
\(\frac{1}{2}\)