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Scanned with CamScanner, Power Series Distribution:-, Mean and Variance :-, Suppose 8.V. x follows, pover series dist then, Def? Power Series, Let fce) - Z acx) o", sit. aca)70,, Px(e)= acx) o*, , *=0,1,2. - -, I fre>, f series is convergent then fcos, is called, as Power series in o., To find mean and variance we, will obtain gst and 2nd, Power series Distribution:-, desivative, of, Power series., yotu o., w., Def": A discrete r.v. X is said to, follow power series dist" if Hs Pf., is given by,, 1ale have,, I a6), 3x= 6x, Xed, X-, Px ce) =, acx) o%, for X: 0,1,2, -.", ..., (: term vanish fer, f'Co): Ž aca) x (x-1) o*-2, OW., where fco) is called as power, •..(:: term vanishes, for x=08**), series in e.