The continuous r.v. X has the p.d.f: f(x)={( 1/2 x 0< X≤1 1/4(3-x) 1<X≤2 1/4 3<X≤4 0 otherwise)┤ Find: P(X>3)
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total answers (1)
Mathematics
P(X>3)=∫_3^∞〖f(x)〗 dx=1/4 ∫_3^4〖(4-x)〗 dx+∫_4^∞0 dx=1/4 [4x-1/2 x^2 ]_3^4=1/4 [16-8-12+9/2]=1/4 [9/2-4]=1/4 [1/2]=1/8
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