17. Let N be a nonnegative, integer-valued random variable. Show that and explain how this inequality can
Question:
17. Let N be a nonnegative, integer-valued random variable. Show that
and explain how this inequality can be used to derive additional bounds on a reliability function.
Hint:
E[N2] = E[N2 | N > 0]P{N > 0} (Why?)
(E[N | N > 0])
2P{N > 0} (Why?)
Now multiply both sides by P{N > 0}.
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