Answer to Question #21178 in Statistics and Probability for Your name...

Question

if the r.v.X has negative exponential p.d.f. with parameter λ

(i) calculate the failure rate r(x) defined by r(x)= f(x)/1-F(x) , for x>0 , where F is the d.f. of X

(ii) compute the (conditional) probability P(X>s + t|X >t ) (s,t>0) and comment on the result