engineering recuitment NIC NIELIT Scientist B 2023 Mock Test Engineering Mathematics Probability and Statistics Random Variables Basics
Let X be a random variable with probability density function,
\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {0.}6\\ {\begin{array}{*{20}{c}} {0.2}\\ 0 \end{array}} \end{array}}&{\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {for\left| x \right| \le 1}\\ {for1 < \left| x\right| \le 4} \end{array}}\\ {otherwise} \end{array}} \end{array}} \right.\)
The probability P(0.5 < × < 5) is _________
1
0.90
2
0.45
3
0.78
4
0.50