*17. A flashlight needs two batteries to be operational. Consider such a flashlight along with a set...

Question:

*17. A flashlight needs two batteries to be operational. Consider such a flashlight along with a set of ç functional batteries—battery 1, battery 2, battery n. Initially, battery 1 and 2 are installed. Whenever a battery fails, it is immediately replaced by the lowest numbered functional battery that has not yet been put in use. Suppose that the lifetimes of the different batteries are independent exponential random variables each having rate ì.

At a random time, call it T, a battery will fail and our stockpile will be empty. At that moment exactly one of the batteries—which we call battery X— will not yet have failed.

(a) What is P{X = ç}º

(b) What i s P ( * = 1)?

(c) What isP{X= /}?

(d) Find£[r].

(e) What is the distribution of Ôº

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: