Question

关于概率论的填空题求解

两道填空题，求学霸解答

Answer 1

(1)
F(x)
=1-e^(-x) ; x>0
=0 ; x≤0
P(X>1)
=1-P(X≤1)
=1-F(1)
=1-( 1-e^(-1))
=e^(-1)
(2)
X~U(2,5)

f(X)
=1/3 ; 2<x<5
=0 ; elsewhere
E(X)
=∫(2->5) xf(x) dx
=(1/6)[x^2]|(2->5)
=(1/6)(25-4)
=7/2