
Reliability Function!
Hey all i have been looking at this, and im struggling to find where im going wrong, or if i even am. Here is the question, with my attempt.
Part (iii) (a) is the most difficult for me.
http://img714.imageshack.us/img714/9317/91830972.jpg
(ii) I got [latex] \alpha = \dfrac{1}{500} [/latex]
(iii)
(a) This is the bit im most concerned about.
$\displaystyle [1(1X_1)(1X_2)(1X_3)]\cdot[1(1X_4)] $
$\displaystyle [1(1R_1(t))(1R_2(t))(1R_3(t))]\cdot[1(1R_4(t))] $
Am i correct or should i be writing if so why, or why not? The independance is whats confusing me.
$\displaystyle [1(X_1)(X_2)(X_3)]\cdot[1(X_4)] $
$\displaystyle [1(R_1(t))(R_2(t))(R_3(t))]\cdot[(1R_4(t))] $
(b) I just then sub $\displaystyle R(t) = e^\frac{t}{500} $, and then expand and integrate.