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IS #1 Spring 201 . Ddf G × do product costs equal total rma x | G Let XX be a random variable wit | owner/Downlo ads/442%20ws%2096231 %20Spring%20201 9,pdf 丽 TT Trsaa anti r my office hours. str Feel free toasKQuestion at the start oran rass next weer rat rin ksinrx, osts1 Do the 1. Let X be a random variable with probability function fx) 0, otherwise following a) Find the value of kGraph f b) Find the cumulative distribution function (c.d.f.) F and graph it. ) Find Ps X < in two ways: i) by using the probability function and i) by using the c.d.f. d) Find EX. Hint: Youll need integration by parts e) Find E(2x +3). ) Given EX? 2 (and you need not verly this), find: i) VarX and i) Var(2x +3).

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valid pdj 0 2. 下 4- Gate 2x < 0 2 OS- - CaS IT 2頁 2 5丌 6 = 10.18 662 万 2- 0 21丌丌 2-

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