Let Y beyourwaitingtimeinalineatagrocerystore.Let Y1, Y2, ...bethewaitingtimesof other people.Let N = the numberofpeoplethatmustbeinlinesatthestoreuntilsomeonehas to waitlongerthanyou.Ifthewaitingtimesareindependentandhavethesamecontinuous probabilitydistribution,explainwhy

(a) P(N > n) = P(Y > max(Y1, ...,Yn) = 1~(n + 1), for n = 1, 2, ...;

(b) E(N) = ∞.