Let X be a random variable with probability density function f(x)={\\begin{array}{ccc}0.2 & & \\\\text{ for }\\\|x|\end{array} \leq 1 ; 0.1, , \text{ for } 1< {|x|} \leq 4 ; 0, , \text{ otherwise }}. The probability P(0.5 < X < 5) is _______.

GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

Question : 37 of 65

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Let X be a random variable with probability density function

f(x)={\{\table 0.2, , \;\text " for "\;{|x|} ≤ 1 ; 0.1, , \;\text " for "\; 1< {|x|} ≤ 4 ; 0, , \;\text " otherwise "\;}.

The probability P(0.5 < X < 5) is _______.

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