Question: 17. Let N be a nonnegative, integer-valued random variable. Show that P{N > 0} > (E[N]) E[N2] and explain how this inequality can be used

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

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