Explore BrainMass

# Reliability Theory Questions

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

These questions are a part of a Operations Research class with a section on Reliability Theory.

(See attached file for full problem description with proper symbols and equations)

---
Question

Let N be a non-negative, integer-valued random variable, Show that

P{N > 0} >= (E[N])2
E[N ]2
And explain how this inequality can be used to derive additional bounds on a reliability function.

HINT: E[N ]2 = E[N 2|N > 0]P{N > 0} (Why?)
>= (E[N |N > 0])2P{N > 0} (Why?)

Now multiply both sides by P{N > 0}.
---

https://brainmass.com/math/linear-programming/reliability-theory-questions-56151

#### Solution Preview

Question

Let N be a non-negative, integer-valued random variable, Show that

P{N > 0} >= (E[N])2
E[N ]2
If X is a discrete random variable with ...

#### Solution Summary

This solution is comprised of a detailed explanation to answer reliability theory questions. Non-negative, integer-values for random variables are examined.

\$2.49