STAT330 Lecture 5: 330 Lecture 5
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Suppose x is discrete rn with ponf support set a fun and. Xea weighted average provided the sum coverages absolutely i e ein if txtflex otherwise ecm d n ee so. In the continas case eas s provided the integral converges absolutely f dx. Exf suppose x is nonregatiu cts r u with. Cdf fca show eca s l f dx. I a faddx s pas adx f seftp. dydx. If x is us then eihkd if half dx. Elag tbh aecgcxdtbechcx proof assume x tbh kd. F cag is cts affgcxjfkdxtbffhcxsfcxdx aec. ge dtbechcxdd special expectations variance. Evd when ecd k th about the mean. Zhu z 5 g dx p lei d panic. Chebyshev"s inequality a roll with finite mean and suppose x is finite variance e for any kz 0. Pc lx rel 7 30 2 e o 11 if xu nuu e.