Find the value of λ such that the function f (x) is a valid probability density function. _______ f (x) = \{\begin{array}{cc}\lambda (x−1) (2−x) & \for 1 \leq x \leq 2\ 0 \\ \otherwise\end{array}

GATE Civil Engineering (CE) 2013 Solved Paper

Question : 39 of 65

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Find the value of λ such that the function f (x) is a valid probability density function. _______

f (x) = \{{\table λ (x−1) (2−x) , \for 1 ≤ x ≤ 2; 0 \; \otherwise }

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