MATH 55 Lecture 42: Chebyshev's Formula, Bienayne's Formula, and Variance
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X is geometrically l p n t p. Ex l l p h 1 p n. A i distributed t l p t p. 1 a geometric series a l p p. Note pcx rny s rs are independent for all r s r s. Proof if x and y are independent then gplx r ply _s rs ftp. lx r. Exampley x xz two rolls of a die. Standard is the root rvaanr. d. gg xeetaanetdvawet the expanded square. Example fair com pll 11 12 piti 12 x x ff if ff ht. C x f"s lexie4212 14 varixt iz f 4. If x y are indep then doit confuse with expected value. Example fair coin n flip of heads _x 1 2 1. Var x varix 1 remember x i xa are indep and so. P 311 469 i 1,56 most of time the. Varix gpls xis mya pls xlss mrtffaplslfxls. tn depslrz.